Prime p₀= 1249220135300615507 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: HenkM
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1249217969783048921	0 32 38 78 90 116 120 140 168 188 192 218 230 270 276 308	-2165517566586
STPT(10)	1249218640795946729	0 2 18 20 30 32 42 44 60 62	-1494504668778
STPT(10)	1249218717480919037	0 2 30 32 72 74 114 116 144 146	-1417819696470
SPT(16)	1249219009320052349	0 14 60 78 138 144 264 272 300 308 428 434 494 512 558 572	-1125980563158
SPT(16)	1249219325519257789	0 28 30 48 58 60 88 90 100 102 130 132 142 160 162 190	-809781357718
SPT(16)	1249219673116401643	0 48 54 94 108 138 154 210 304 360 376 406 420 460 466 514	-462184213864
SPT(16)	1249220214084326977	0 36 70 136 150 154 232 234 262 264 342 346 360 426 460 496	78783711470
STPT(10)	1249220365168034837	0 2 30 32 42 44 54 56 84 86	229867419330
SPT(16)	1249220587076571283	0 4 28 70 96 136 174 180 214 220 258 298 324 366 390 394	451775955776
SPT(16)	1249220652050878693	0 30 54 124 168 190 208 226 348 366 384 406 450 520 544 574	516750263186
STPT(10)	1249220724780725297	0 2 12 14 42 44 72 74 84 86	589480109790