Prime p₀= 1133246477360187761 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 34 2 40 2 40 2 34 2 40 2 (?)
a_n: 0 2 60 62 96 98 138 140 180 182 216 218 258 260
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: 260
Found by: stoneageman
db: batch=76, k=14, 58 34 40 40 34 40

SPT(16)	1133245840425913729	0 78 132 180 184 190 238 258 274 294 342 348 352 400 454 532	-636934274032
SPT(16)	1133245919115083953	0 6 28 34 76 78 90 106 138 154 166 168 210 216 238 244	-558245103808
STPT(10)	1133246048971815011	0 2 60 62 198 200 336 338 396 398	-428388372750
SPT(16)	1133246115374863669	0 54 72 84 90 100 112 160 204 252 264 274 280 292 310 364	-361985324092
SPT(16)	1133246236019753147	0 6 92 96 102 110 146 162 164 180 216 224 230 234 320 326	-241340434614
STPT(10)	1133246347050120341	0 2 96 98 108 110 120 122 216 218	-130310067420
STPT(10)	1133246477360187821	0 2 36 38 78 80 120 122 156 158	60
STPT(10)	1133247092724385271	0 2 6 8 48 50 90 92 96 98	615364197510
SPT(16)	1133247117231946103	0 6 24 44 48 56 84 144 170 230 258 266 270 290 308 314	639871758342
STPT(10)	1133247173583670511	0 2 36 38 78 80 120 122 156 158	696223482750
STPT(10)	1133247364810992659	0 2 42 44 90 92 138 140 180 182	887450804898