Prime p₀= 2531125504852666571 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 2 78 10 38 4 38 12 16 12 38 4 38 10 78 2 (?)
a_n: 0 2 80 90 128 132 170 182 198 210 248 252 290 300 378 380
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: 380
Found by: [SG]ATA-Rolf
db: batch=82, k=16, 2 78 10 38 4 38 12 16

STPT(10)	2531124214931263487	0 2 30 32 42 44 54 56 84 86	-1289921403084
SPT(16)	2531124236127980963	0 44 54 68 84 96 114 116 138 140 158 170 186 200 210 254	-1268724685608
STPT(10)	2531124756629590727	0 2 12 14 72 74 132 134 144 146	-748223075844
SPT(16)	2531124881083431593	0 8 78 104 108 134 146 156 218 228 240 266 270 296 366 374	-623769234978
TPT(14)	2531125140225191009	0 2 12 14 78 80 90 92 108 110 132 134 210 212	-364627475562
SPT(16)	2531125385469811499	0 20 62 74 110 144 150 152 222 224 230 264 300 312 354 374	-119382855072
STPT(10)	2531126079033778559	0 2 48 50 90 92 132 134 180 182	574181111988
TPT(14)	2531126123933342807	0 2 42 44 84 86 102 104 132 134 144 146 222 224	619080676236
SPT(16)	2531126539634012381	0 42 48 110 132 140 152 162 278 288 300 308 330 392 398 440	1034781345810
STPT(10)	2531126785092126581	0 2 6 8 48 50 90 92 96 98	1280239460010
SPT(16)	2531126790076309577	0 14 20 62 80 84 150 152 162 164 230 234 252 294 300 314	1285223643006