Prime p₀= 1040126210854374617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: [SG-2W]Kurzer
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1040125196945939411	0 20 32 42 86 138 140 152 216 228 230 282 326 336 348 368	-1013908435206
SPT(18)	1040125303421465867	0 2 14 30 84 102 110 152 156 350 354 396 404 422 476 492 504 506	-907432908750
SPT(16)	1040125607303281669	0 24 48 52 70 78 100 114 148 162 184 192 210 214 238 262	-603551092948
SPT(16)	1040125794576865823	0 24 36 50 54 66 84 126 134 176 194 206 210 224 236 260	-416277508794
SPT(16)	1040125928026604249	0 18 78 110 120 132 152 230 342 420 440 452 462 494 554 572	-282827770368
STPT(10)	1040126052863068229	0 2 42 44 60 62 78 80 120 122	-157991306388
STPT(10)	1040126344400375117	0 2 12 14 72 74 132 134 144 146	133546000500
SPT(16)	1040126458470558169	0 42 54 72 90 124 154 204 208 258 288 322 340 358 370 412	247616183552
TPT(14)	1040126463378693671	0 2 30 32 36 38 120 122 126 128 138 140 168 170	252524319054
TPT(14)	1040126608099248797	0 2 54 56 84 86 150 152 240 242 282 284 294 296	397244874180
STPT(10)	1040127032813018999	0 2 30 32 60 62 90 92 120 122	821958644382