Prime p₀= 1267489880705044691 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 58 2 28 2 4 2 58 2 (?)
a_n: 0 2 6 8 30 32 90 92 120 122 126 128 186 188
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: 188
Found by: Coleslaw
db: batch=77, k=14, 4 22 58 28 4 58

STPT(10)	1267488298555264967	0 2 30 32 42 44 54 56 84 86	-1582149779724
SPT(16)	1267488745890211549	0 4 18 172 258 262 304 328 354 378 420 424 510 664 678 682	-1134814833142
TPT(14)	1267488798390429227	0 2 54 56 72 74 84 86 90 92 174 176 222 224	-1082314615464
SPT(16)	1267488872113285999	0 28 34 60 64 118 154 160 162 168 204 258 262 288 294 322	-1008591758692
SPT(16)	1267488935955001811	0 8 72 120 132 146 150 156 182 188 192 206 218 266 330 338	-944750042880
STPT(10)	1267489880107893269	0 2 18 20 60 62 102 104 120 122	-597151422
SPT(16)	1267490023981952497	0 6 42 52 70 90 96 102 160 166 172 192 210 220 256 262	143276907806
SPT(16)	1267490174454179647	0 30 34 46 60 90 100 112 114 126 136 166 180 192 196 226	293749134956
SPT(16)	1267490260083540617	0 14 24 42 90 92 122 132 194 204 234 236 284 302 312 326	379378495926
STPT(10)	1267490374842550091	0 2 36 38 78 80 120 122 156 158	494137505400
STPT(10)	1267490515229783417	0 2 60 62 72 74 84 86 144 146	634524738726