Prime p₀= 1931574663633371849 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 94 2 22 2 16 2 70 2 (?)
a_n: 0 2 30 32 42 44 138 140 162 164 180 182 252 254
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: 254
Found by: Landjunge
db: batch=80, k=14, 28 10 94 22 16 70

SPT(16)	1931573113630733323	0 24 34 46 60 66 126 144 160 178 238 244 258 270 280 304	-1550002638526
SPT(16)	1931573119844991433	0 16 46 66 84 100 150 166 198 214 264 280 298 318 348 364	-1543788380416
SPT(16)	1931573989322862197	0 42 56 66 80 92 122 126 140 144 174 186 200 210 224 266	-674310509652
STPT(10)	1931574005694218069	0 2 18 20 30 32 42 44 60 62	-657939153780
SPT(18)	1931574041547217817	0 66 80 122 126 144 182 224 242 294 312 354 392 410 414 456 470 536	-622086154032
SPT(16)	1931574383937395251	0 40 42 160 178 202 222 238 312 328 348 372 390 508 510 550	-279695976598
SPT(16)	1931574686013921847	0 10 42 64 100 112 120 150 166 196 204 216 252 274 306 316	22380549998
TPT(14)	1931574692220604349	0 2 18 20 42 44 48 50 72 74 78 80 120 122	28587232500
SPT(16)	1931575064330393051	0 8 92 98 120 126 146 150 188 192 212 218 240 246 330 338	400697021202
TPT(14)	1931575351313079971	0 2 36 38 78 80 168 170 246 248 288 290 408 410	687679708122
SPT(16)	1931575597723167481	0 12 28 30 42 52 70 78 130 138 156 166 178 180 196 208	934089795632