Prime p₀= 2356290731936521337 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: JohnMD
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2356289941066306241	0 68 122 132 138 140 146 162 236 252 258 260 266 276 330 398	-790870215096
SPT(16)	2356290238828035539	0 102 164 170 198 222 240 308 474 542 560 584 612 618 680 782	-493108485798
STPT(10)	2356290265299131969	0 2 90 92 150 152 210 212 300 302	-466637389368
STPT(10)	2356290298860017489	0 2 12 14 30 32 48 50 60 62	-433076503848
STPT(10)	2356290528356240381	0 2 6 8 48 50 90 92 96 98	-203580280956
STPT(10)	2356290539223670097	0 2 42 44 72 74 102 104 144 146	-192712851240
SPT(16)	2356290948614039993	0 20 44 66 134 150 218 230 234 246 314 330 398 420 444 464	216677518656
SPT(16)	2356290995056557397	0 12 34 60 72 90 124 186 280 342 376 394 406 432 454 466	263120036060
SPT(16)	2356291126758344473	0 10 40 60 66 76 88 120 136 168 180 190 196 216 246 256	394821823136
STPT(10)	2356291291590771461	0 2 36 38 108 110 180 182 216 218	559654250124
SPT(16)	2356291339194890171	0 6 12 18 60 68 72 90 98 116 120 128 170 176 182 188	607258368834