Prime p₀= 1144618980817173791 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 40 2 88 2 46 2 28 2 70 2 (?)
a_n: 0 2 96 98 138 140 228 230 276 278 306 308 378 380
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: 380
Found by: Alnitak2019
db: batch=76, k=14, 94 40 88 46 28 70

SPT(16)	1144618284538737269	0 8 18 20 24 42 50 84 98 132 140 158 162 164 174 182	-696278436522
SPT(16)	1144618597286909813	0 6 48 78 90 120 146 150 164 168 194 224 236 266 308 314	-383530263978
STPT(10)	1144618711485869297	0 2 30 32 42 44 54 56 84 86	-269331304494
STPT(12)	1144618748748981227	0 2 12 14 54 56 150 152 192 194 204 206	-232068192564
SPT(16)	1144618760220455771	0 56 72 86 96 132 140 182 270 312 320 356 366 380 396 452	-220596718020
STPT(10)	1144618808959078889	0 2 42 44 60 62 78 80 120 122	-171858094902
STPT(10)	1144619636196469241	0 2 6 8 48 50 90 92 96 98	655379295450
SPT(16)	1144620020868660659	0 30 72 78 92 102 140 152 168 180 218 228 242 248 290 320	1040051486868
STPT(10)	1144620104385040427	0 2 42 44 72 74 102 104 144 146	1123567866636
STPT(10)	1144620324483664079	0 2 18 20 60 62 102 104 120 122	1343666490288
TPT(14)	1144620839617030817	0 2 30 32 54 56 192 194 240 242 252 254 294 296	1858799857026