Prime p₀= 956972789174253737 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)	956971664127353543	0 36 48 54 56 140 146 180 224 258 264 348 350 356 368 404	-1125046900194
SPT(16)	956971801236984739	0 70 94 118 198 208 282 318 394 430 504 514 594 618 642 712	-987937268998
SPT(16)	956971839767553569	0 14 18 60 68 78 92 98 114 120 134 144 152 194 198 212	-949406700168
SPT(16)	956971848559423331	0 32 38 116 120 150 162 176 192 206 218 248 252 330 336 368	-940614830406
SPT(16)	956971901389185763	0 4 34 46 54 58 60 96 118 154 156 160 168 180 210 214	-887785067974
SPT(16)	956972042718965587	0 46 66 114 142 144 150 184 222 256 262 264 292 340 360 406	-746455288150
SPT(16)	956972813726683577	0 26 42 66 134 206 222 234 302 314 330 402 470 494 510 536	24552429840
STPT(10)	956972831011102847	0 2 54 56 132 134 210 212 264 266	41836849110
STPT(10)	956972863229690897	0 2 30 32 102 104 174 176 204 206	74055437160
TPT(14)	956973259141503257	0 2 12 14 90 92 132 134 192 194 342 344 372 374	469967249520
SPT(16)	956973362088369029	0 24 42 62 92 104 120 140 144 164 180 192 222 242 260 284	572914115292