Prime p₀= 1143432593113075841 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 184 2 10 2 10 2 58 2 28 2 34 2 (?)
a_n: 0 2 186 188 198 200 210 212 270 272 300 302 336 338
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: 338
Found by: Putin Has a Small Dick
db: batch=76, k=14, 184 10 10 58 28 34

SPT(16)	1143431286237846511	0 6 12 52 70 100 126 136 156 166 192 222 240 280 286 292	-1306875229330
STPT(10)	1143431295806035931	0 2 36 38 78 80 120 122 156 158	-1297307039910
SPT(16)	1143431344957082869	0 18 30 34 48 52 88 90 112 114 150 154 168 172 184 202	-1248155992972
SPT(16)	1143431377255873259	0 38 42 72 120 198 218 222 320 324 344 422 470 500 504 542	-1215857202582
STPT(10)	1143432055730997509	0 2 42 44 120 122 198 200 240 242	-537382078332
STPT(12)	1143432138572443217	0 2 12 14 24 26 210 212 222 224 234 236	-454540632624
SPT(16)	1143432870425052709	0 28 34 40 118 130 150 160 228 238 258 270 348 354 360 388	277311976868
STPT(10)	1143433087363078427	0 2 24 26 42 44 60 62 84 86	494250002586
SPT(16)	1143433110441523921	0 6 28 48 60 78 88 120 178 210 220 238 250 270 292 298	517328448080
SPT(16)	1143433198497207109	0 22 24 70 72 108 112 148 204 240 244 280 282 328 330 352	605384131268
SPT(16)	1143433658326245859	0 30 40 112 118 130 154 160 192 198 222 234 240 312 322 352	1065213170018