Prime p₀= 2623830069742971203 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 8 6 10 20 82 38 10 26 10 38 82 20 10 6 8 (?)
a_n: 0 8 14 24 44 126 164 174 200 210 248 330 350 360 366 374
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: 374
Found by: JayPi
db: batch=82, k=16, 8 6 10 20 82 38 10 26

SPT(16)	2623827156481544297	0 14 32 60 86 144 170 176 180 186 212 270 296 324 342 356	-2913261426906
STPT(10)	2623827583200008357	0 2 12 14 42 44 72 74 84 86	-2486542962846
STPT(10)	2623827810885679757	0 2 60 62 72 74 84 86 144 146	-2258857291446
SPT(16)	2623828631143120187	0 2 26 36 42 54 80 86 90 96 122 134 140 150 174 176	-1438599851016
SPT(16)	2623828661306796311	0 12 26 32 36 110 120 162 176 218 228 302 306 312 326 338	-1408436174892
SPT(16)	2623829603271949643	0 6 20 26 48 116 140 156 158 174 198 266 288 294 308 314	-466471021560
STPT(10)	2623830373329194999	0 2 12 14 30 32 48 50 60 62	303586223796
STPT(10)	2623830516139343207	0 2 30 32 72 74 114 116 144 146	446396372004
SPT(16)	2623830580770683017	0 6 34 40 130 136 144 154 156 166 174 180 270 276 304 310	511027711814
STPT(10)	2623830599251914881	0 2 6 8 48 50 90 92 96 98	529508943678
SPT(16)	2623830701756505071	0 18 32 36 78 152 182 200 228 246 276 350 392 396 410 428	632013533868