Prime p₀= 2625900068025018137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 266
Found by: JayPi
db: batch=82, k=10, 2 88 2 40 2

SPT(16)	2625898843033319407	0 4 22 46 60 94 124 130 186 192 222 256 270 294 312 316	-1224991698730
SPT(16)	2625898874491730269	0 4 18 22 24 40 48 82 90 124 132 148 150 154 168 172	-1193533287868
SPT(16)	2625899265740534227	0 42 120 132 142 160 210 240 292 322 372 390 400 412 490 532	-802284483910
STPT(12)	2625899443126145321	0 2 36 38 48 50 78 80 90 92 126 128	-624898872816
TPT(14)	2625899541906750881	0 2 30 32 90 92 126 128 210 212 258 260 288 290	-526118267256
STPT(10)	2625899925786214067	0 2 12 14 42 44 72 74 84 86	-142238804070
SPT(16)	2625900167898977699	0 20 32 38 60 92 120 132 200 212 240 272 294 300 312 332	99873959562
SPT(20)	2625900269613996587	0 20 42 62 116 182 210 216 224 254 312 342 350 356 384 450 504 524 546 566	201588978450
SPT(16)	2625900306812598043	0 18 48 70 78 90 96 138 238 280 286 298 306 328 358 376	238787579906
STPT(10)	2625900566205452741	0 2 6 8 18 20 30 32 36 38	498180434604
STPT(10)	2625900766693162841	0 2 36 38 78 80 120 122 156 158	698668144704