Prime p₀= 1121486005933115201 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 16 2 22 2 28 2 4 2 40 2 (?)
a_n: 0 2 78 80 96 98 120 122 150 152 156 158 198 200
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: 200
Found by: stoneageman
db: batch=76, k=14, 76 16 22 28 4 40

TPT(16)	1121485447723155131	0 2 36 38 138 140 246 248 288 290 336 338 348 350 378 380	-558209960070
TPT(14)	1121485681054089539	0 2 192 194 222 224 240 242 312 314 390 392 588 590	-324879025662
SPT(16)	1121485793306049323	0 14 20 38 80 96 126 138 176 188 218 234 276 294 300 314	-212627065878
SPT(16)	1121485831896102109	0 10 40 48 52 54 72 94 138 160 178 180 184 192 222 232	-174037013092
SPT(16)	1121485845467123933	0 20 30 60 68 90 128 140 156 168 206 228 236 266 276 296	-160465991268
SPT(16)	1121485947689367739	0 12 64 72 100 124 178 190 252 264 318 342 370 378 430 442	-58243747462
STPT(10)	1121486330848176047	0 2 30 32 42 44 54 56 84 86	324915060846
SPT(13)	1121486384842924993	0 180 204 210 258 288 294 300 330 378 384 408 588	378909809792
STPT(10)	1121486449626256331	0 2 36 38 78 80 120 122 156 158	443693141130
SPT(16)	1121486488448397077	0 12 32 74 86 90 102 132 164 194 206 210 222 264 284 296	482515281876
SPT(16)	1121486612207179739	0 54 68 98 110 122 132 174 188 230 240 252 264 294 308 362	606274064538