Prime p₀= 955379874936983927 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 52 2 16 2 76 2 40 2 (?)
a_n: 0 2 30 32 60 62 114 116 132 134 210 212 252 254
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: 254
Found by: HenkM
db: batch=76, k=14, 28 28 52 16 76 40

STPT(10)	955378564544846327	0 2 30 32 72 74 114 116 144 146	-1310392137600
STPT(10)	955378749747837599	0 2 18 20 30 32 42 44 60 62	-1125189146328
STPT(10)	955379135321096579	0 2 18 20 30 32 42 44 60 62	-739615887348
SPT(16)	955379174049508387	0 22 46 72 82 90 112 190 222 300 322 330 340 366 390 412	-700887475540
STPT(10)	955379519947917941	0 2 30 32 60 62 90 92 120 122	-354989065986
TPT(14)	955379798961159179	0 2 102 104 108 110 150 152 180 182 252 254 318 320	-75975824748
SPT(16)	955380002937545587	0 30 36 64 90 132 216 234 292 310 394 436 462 490 496 526	128000561660
SPT(13)	955380280503248333	0 6 18 30 60 90 108 126 156 186 198 210 216	405566264406
SPT(16)	955380546080685073	0 6 10 34 84 90 108 144 160 196 214 220 270 294 298 304	671143701146
STPT(10)	955380937522805711	0 2 30 32 78 80 126 128 156 158	1062585821784
SPT(16)	955381424342696753	0 20 36 44 48 56 98 120 134 156 198 206 210 218 234 254	1549405712826