Prime p₀= 1273429339083996737 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: mikey
db: batch=77, k=10, 2 22 2 16 2

STPT(10)	1273428008367969071	0 2 36 38 78 80 120 122 156 158	-1330716027666
SPT(16)	1273428544280316869	0 20 42 78 92 104 132 134 168 170 198 210 224 260 282 302	-794803679868
SPT(16)	1273428705913329551	0 48 92 98 102 108 146 182 186 222 260 266 270 276 320 368	-633170667186
SPT(16)	1273429255414135301	0 60 96 98 108 110 186 198 278 290 366 368 378 380 416 476	-83669861436
STPT(10)	1273429286886842159	0 2 42 44 90 92 138 140 180 182	-52197154578
SPT(16)	1273429295243572391	0 26 38 42 60 80 110 116 192 198 228 248 266 270 282 308	-43840424346
STPT(10)	1273429357442633507	0 2 30 32 42 44 54 56 84 86	18358636770
SPT(16)	1273429373892493679	0 30 32 50 92 98 108 158 162 212 222 228 270 288 290 320	34808496942
SPT(16)	1273429507455522299	0 12 18 42 98 102 120 138 164 182 200 204 260 284 290 302	168371525562
STPT(10)	1273429655584267919	0 2 48 50 90 92 132 134 180 182	316500271182
SPT(16)	1273429729756574669	0 2 48 80 104 108 138 182 240 284 314 318 342 374 420 422	390672577932