Prime p₀= 1931574692220604349 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 4 2 22 2 4 2 40 2 (?)
a_n: 0 2 18 20 42 44 48 50 72 74 78 80 120 122
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: 122
Found by: Landjunge
db: batch=80, k=14, 16 22 4 22 4 40

SPT(16)	1931573989322862197	0 42 56 66 80 92 122 126 140 144 174 186 200 210 224 266	-702897742152
STPT(10)	1931574005694218069	0 2 18 20 30 32 42 44 60 62	-686526386280
SPT(18)	1931574041547217817	0 66 80 122 126 144 182 224 242 294 312 354 392 410 414 456 470 536	-650673386532
SPT(16)	1931574383937395251	0 40 42 160 178 202 222 238 312 328 348 372 390 508 510 550	-308283209098
TPT(14)	1931574663633371849	0 2 30 32 42 44 138 140 162 164 180 182 252 254	-28587232500
SPT(16)	1931574686013921847	0 10 42 64 100 112 120 150 166 196 204 216 252 274 306 316	-6206682502
SPT(16)	1931575064330393051	0 8 92 98 120 126 146 150 188 192 212 218 240 246 330 338	372109788702
TPT(14)	1931575351313079971	0 2 36 38 78 80 168 170 246 248 288 290 408 410	659092475622
SPT(16)	1931575597723167481	0 12 28 30 42 52 70 78 130 138 156 166 178 180 196 208	905502563132
SPT(16)	1931575648755161417	0 30 32 54 72 92 114 140 156 182 204 224 242 264 266 296	956534557068
STPT(10)	1931575901727601781	0 2 36 38 78 80 120 122 156 158	1209506997432