Prime p₀= 1027525600668308023 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 36 28 26 16 12 56 66 34 66 56 12 16 26 28 36 (?)
a_n: 0 36 64 90 106 118 174 240 274 340 396 408 424 450 478 514
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: HenkM
db: batch=76, k=16, 36 28 26 16 12 56 66 34

SPT(16)	1027524115335884849	0 14 42 74 78 90 104 144 158 198 212 224 228 260 288 302	-1485332423174
STPT(10)	1027524632510364881	0 2 6 8 48 50 90 92 96 98	-968157943142
STPT(10)	1027524673165530641	0 2 6 8 48 50 90 92 96 98	-927502777382
SPT(16)	1027525032945253993	0 16 30 66 76 96 100 160 324 384 388 408 418 454 468 484	-567723054030
SPT(16)	1027525072891732867	0 6 40 72 82 202 210 232 264 286 294 414 424 456 490 496	-527776575156
SPT(16)	1027525554218879447	0 12 42 44 56 72 96 116 180 200 224 240 252 254 284 296	-46449428576
STPT(10)	1027525618055988419	0 2 18 20 30 32 42 44 60 62	17387680396
SPT(16)	1027525685954747041	0 6 40 46 82 88 112 138 160 186 210 216 252 258 292 298	85286439018
SPT(16)	1027526271859670507	0 12 26 72 96 114 122 126 140 144 152 170 194 240 254 266	671191362484
STPT(10)	1027526637410016347	0 2 90 92 102 104 114 116 204 206	1036741708324
TPT(14)	1027526811711225179	0 2 12 14 30 32 72 74 90 92 102 104 168 170	1211042917156