Prime p₀= 947262651049610681 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 22 2 16 2 88 2 16 2 28 2 (?)
a_n: 0 2 36 38 60 62 78 80 168 170 186 188 216 218
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 218
Found by: stoneageman
db: batch=76, k=14, 34 22 16 88 16 28

SPT(16)	947261484347670367	0 12 16 100 166 172 186 196 210 220 234 240 306 390 394 406	-1166701940314
STPT(10)	947261972340894149	0 2 30 32 60 62 90 92 120 122	-678708716532
STPT(10)	947262118898780957	0 2 30 32 42 44 54 56 84 86	-532150829724
SPT(16)	947262126074304343	0 6 30 34 120 160 184 190 240 246 270 310 396 400 424 430	-524975306338
STPT(10)	947262191829635117	0 2 72 74 102 104 132 134 204 206	-459219975564
SPT(16)	947262612196520021	0 2 62 98 108 120 150 212 216 278 308 320 330 366 426 428	-38853090660
SPT(13)	947263088878516867	0 6 66 90 114 144 150 156 186 210 234 294 300	437828906186
SPT(16)	947263090966058987	0 66 74 84 86 102 152 186 260 294 344 360 362 372 380 446	439916448306
SPT(16)	947263403433542101	0 18 58 82 88 90 132 142 156 166 208 210 216 240 280 298	752383931420
SPT(16)	947263489841507717	0 6 42 60 114 182 224 236 300 312 354 422 476 494 530 536	838791897036
SPT(16)	947263848386246773	0 4 64 76 90 106 120 148 186 214 228 244 258 270 330 334	1197336636092