Prime p₀= 1137855346832266961 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 40 2 40 2 64 2 (?)
a_n: 0 2 66 68 108 110 150 152 216 218
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: 218
Found by: Theadalus
db: batch=76, k=10, 2 64 2 40 2

SPT(16)	1137853529157962327	0 42 54 90 120 132 140 204 230 294 302 314 344 380 392 434	-1817674304634
TPT(14)	1137853605052350491	0 2 180 182 216 218 240 242 336 338 420 422 426 428	-1741779916470
SPT(16)	1137853786657454003	0 26 68 158 168 186 194 260 264 330 338 356 366 456 498 524	-1560174812958
STPT(10)	1137854268501371261	0 2 36 38 78 80 120 122 156 158	-1078330895700
SPT(16)	1137854957410150601	0 12 68 90 98 122 152 156 182 186 216 240 248 270 326 338	-389422116360
TPT(14)	1137855282615060017	0 2 72 74 84 86 150 152 162 164 192 194 204 206	-64217206944
SPT(16)	1137855420571523779	0 24 58 94 168 178 198 228 250 280 300 310 384 420 454 478	73739256818
TPT(14)	1137855558531328529	0 2 72 74 90 92 102 104 138 140 198 200 300 302	211699061568
SPT(16)	1137855613281328891	0 82 118 208 210 222 250 292 378 420 448 460 462 552 588 670	266449061930
SPT(18)	1137855654805904087	0 50 74 84 110 152 182 204 210 314 320 342 372 414 440 450 474 524	307973637126
TPT(14)	1137856087889645951	0 2 126 128 156 158 180 182 318 320 390 392 456 458	741057378990