Prime p₀= 1051397728389949007 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: stoneageman
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1051396452484019171	0 26 36 62 92 132 222 230 258 266 356 396 426 452 462 488	-1275905929836
SPT(16)	1051396923123328963	0 10 24 70 76 100 136 166 168 198 234 258 264 310 324 334	-805266620044
SPT(16)	1051396979867496959	0 20 78 98 120 134 204 228 380 404 474 488 510 530 588 608	-748522452048
SPT(16)	1051396985177426413	0 58 78 94 96 126 144 148 186 190 208 238 240 256 276 334	-743212522594
SPT(16)	1051397388485629243	0 28 58 60 78 120 130 144 154 168 178 220 238 240 270 298	-339904319764
SPT(16)	1051397596414334297	0 14 20 36 42 60 66 90 116 140 146 164 170 186 192 206	-131975614710
STPT(10)	1051398000974276741	0 2 30 32 60 62 90 92 120 122	272584327734
SPT(16)	1051398015311935397	0 14 32 56 66 80 120 182 204 266 306 320 330 354 372 386	286921986390
SPT(16)	1051398359737698617	0 32 36 66 74 84 170 176 270 276 362 372 380 410 414 446	631347749610
TPT(14)	1051398426816019019	0 2 108 110 132 134 372 374 390 392 498 500 600 602	698426070012
STPT(10)	1051398438320149721	0 2 6 8 48 50 90 92 96 98	709930200714