Prime p₀= 1410620048414193013 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 54 38 28 6 8 66 46 66 8 6 28 38 54 34 (?)
a_n: 0 34 88 126 154 160 168 234 280 346 354 360 388 426 480 514
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: 514
Found by: rlacr
db: batch=78, k=16, 34 54 38 28 6 8 66 46

SPT(16)	1410618248805913507	0 10 12 34 52 66 72 76 90 94 100 114 132 154 156 166	-1799608279506
SPT(16)	1410618505735633009	0 30 34 40 54 82 100 112 132 144 162 190 204 210 214 244	-1542678560004
STPT(10)	1410618858292600709	0 2 18 20 30 32 42 44 60 62	-1190121592304
STPT(10)	1410618979947817877	0 2 30 32 42 44 54 56 84 86	-1068466375136
SPT(16)	1410619030104901831	0 90 118 148 166 196 198 250 288 340 342 372 390 420 448 538	-1018309291182
TPT(14)	1410619142822917409	0 2 18 20 72 74 90 92 132 134 198 200 270 272	-905591275604
TPT(14)	1410620080991321531	0 2 48 50 60 62 156 158 216 218 240 242 270 272	32577128518
SPT(16)	1410620087829008417	0 32 44 56 84 102 116 126 230 240 254 272 300 312 324 356	39414815404
SPT(16)	1410620708184584327	0 2 56 140 176 222 264 266 300 302 344 390 426 510 564 566	659770391314
TPT(14)	1410621305299675331	0 2 120 122 156 158 198 200 210 212 228 230 288 290	1256885482318
SPT(16)	1410621457148939941	0 10 12 22 48 52 78 90 100 112 138 142 168 178 180 190	1408734746928