Prime p₀= 1623644452146497663 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 38 4 56 42 42 46 14 46 42 42 56 4 38 18 (?)
a_n: 0 18 56 60 116 158 200 246 260 306 348 390 446 450 488 506
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 506
Found by: biodoc
db: batch=78, k=16, 18 38 4 56 42 42 46 14

STPT(12)	1623643213380757979	0 2 48 50 90 92 168 170 210 212 258 260	-1238765739684
SPT(16)	1623643338878332517	0 26 56 74 92 96 102 126 230 254 260 264 282 300 330 356	-1113268165146
STPT(10)	1623643542661324697	0 2 42 44 102 104 162 164 204 206	-909485172966
SPT(16)	1623643894160612521	0 10 22 46 66 70 82 96 112 126 138 142 162 186 198 208	-557985885142
SPT(16)	1623643911292074979	0 28 82 88 94 118 150 172 180 202 234 258 264 270 324 352	-540854422684
SPT(16)	1623644292097138697	0 42 50 60 80 162 180 192 194 206 224 306 326 336 344 386	-160049358966
SPT(16)	1623644756670986971	0 6 78 88 96 108 126 148 150 172 190 202 210 220 292 298	304524489308
SPT(16)	1623645385724773277	0 12 14 20 32 144 146 152 174 180 182 294 306 312 314 326	933578275614
SPT(20)	1623645576400486627	0 6 66 102 106 112 132 150 156 172 174 190 196 214 234 240 244 280 340 346	1124253988964
SPT(16)	1623646041041923931	0 30 36 62 96 140 146 152 240 246 252 296 330 356 362 392	1588895426268
SPT(16)	1623646357107362593	0 4 36 76 78 124 154 166 168 180 210 256 258 298 330 334	1904960864930