Prime p₀= 1137809541404557709 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 28 2 70 2 40 2 34 2 10 2 (?)
a_n: 0 2 18 20 48 50 120 122 162 164 198 200 210 212
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: 212
Found by: stoneageman
db: batch=76, k=14, 16 28 70 40 34 10

SPT(18)	1137808483539003649	0 10 18 22 72 88 94 114 120 142 148 168 174 190 240 244 252 262	-1057865554060
SPT(16)	1137808660151968703	0 20 44 66 108 138 174 188 216 230 266 296 338 360 384 404	-881252589006
SPT(16)	1137808753245317653	0 40 64 78 100 106 108 118 156 166 168 174 196 210 234 274	-788159240056
SPT(16)	1137808754963293607	0 60 116 122 134 146 192 216 260 284 330 342 354 360 416 476	-786441264102
SPT(16)	1137809474628570257	0 26 56 62 104 140 164 264 302 402 426 462 504 510 540 566	-66775987452
SPT(16)	1137809517036000973	0 54 106 108 120 126 160 190 264 294 328 334 346 348 400 454	-24368556736
TPT(14)	1137809996240476541	0 2 36 38 90 92 138 140 168 170 288 290 306 308	454835918832
SPT(16)	1137810107403751013	0 114 134 144 204 224 234 240 248 254 264 284 344 354 374 488	565999193304
STPT(10)	1137810268079835587	0 2 12 14 42 44 72 74 84 86	726675277878
SPT(16)	1137810394873081607	0 30 32 56 66 80 110 126 170 186 216 230 240 264 266 296	853468523898
STPT(10)	1137811460244601559	0 2 18 20 30 32 42 44 60 62	1918840043850