Prime p₀= 1037999239158127151 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: stoneageman
db: batch=76, k=10, 2 4 2 40 2

STPT(10)	1037998459611745571	0 2 30 32 60 62 90 92 120 122	-779546381580
SPT(16)	1037998502283597977	0 2 80 114 146 174 266 324 332 390 482 510 542 576 654 656	-736874529174
TPT(14)	1037998746658798907	0 2 12 14 180 182 204 206 222 224 360 362 372 374	-492499328244
SPT(16)	1037998851279189977	0 20 74 126 150 156 170 176 240 246 260 266 290 342 396 416	-387878937174
STPT(10)	1037998960550318477	0 2 60 62 72 74 84 86 144 146	-278607808674
STPT(10)	1037999056676924939	0 2 42 44 60 62 78 80 120 122	-182481202212
STPT(10)	1037999321080108547	0 2 30 32 42 44 54 56 84 86	81921981396
SPT(16)	1037999479252391549	0 14 24 54 80 90 102 132 152 182 194 204 230 260 270 284	240094264398
SPT(16)	1037999495740958921	0 18 56 60 62 78 86 92 126 132 140 156 158 162 200 218	256582831770
TPT(14)	1037999562679758527	0 2 30 32 60 62 90 92 114 116 132 134 210 212	323521631376
SPT(16)	1037999834994661361	0 30 56 98 140 216 240 270 296 326 350 426 468 510 536 566	595836534210