Prime p₀= 771017450126828381 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 82 2 58 2 16 2 136 2 22 2 (?)
a_n: 0 2 36 38 120 122 180 182 198 200 336 338 360 362
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: 362
Found by: mcf2020
db: batch=73, k=14, 34 82 58 16 136 22

SPT(16)	771015402107073197	0 42 90 116 140 152 156 176 180 200 204 216 240 266 314 356	-2048019755184
SPT(20)	771015451992066623	0 6 14 66 90 108 114 188 240 258 266 284 336 410 416 434 458 510 518 524	-1998134761758
SPT(16)	771016160043409627	0 12 84 124 142 162 166 204 232 270 274 294 312 352 424 436	-1290083418754
STPT(10)	771016289743329629	0 2 18 20 30 32 42 44 60 62	-1160383498752
STPT(10)	771016444487747987	0 2 12 14 42 44 72 74 84 86	-1005639080394
STPT(10)	771017314740711089	0 2 42 44 60 62 78 80 120 122	-135386117292
STPT(10)	771017517407780957	0 2 12 14 42 44 72 74 84 86	67280952576
SPT(16)	771017539150517903	0 6 18 48 96 110 126 200 294 368 384 398 446 476 488 494	89023689522
STPT(10)	771017615061961361	0 2 6 8 48 50 90 92 96 98	164935132980
SPT(16)	771018246377857883	0 14 20 38 66 80 96 114 140 158 174 188 216 234 240 254	796251029502
SPT(16)	771018521866204783	0 34 36 40 78 100 114 136 138 160 174 196 234 238 240 274	1071739376402