Prime p₀= 1257911998192350041 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 4 2 52 2 34 2 58 2 (?)
a_n: 0 2 6 8 30 32 36 38 90 92 126 128 186 188
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: 188
Found by: X_FISH
db: batch=77, k=14, 4 22 4 52 34 58

TPT(14)	1257911024811778217	0 2 24 26 102 104 150 152 234 236 264 266 270 272	-973380571824
SPT(16)	1257911026017370271	0 8 30 50 68 72 78 110 138 170 176 180 198 218 240 248	-972174979770
SPT(16)	1257911068219140157	0 30 40 70 76 102 166 172 210 216 280 306 312 342 352 382	-929973209884
SPT(16)	1257911205830100307	0 24 52 72 106 136 156 160 276 280 300 330 364 384 412 436	-792362249734
STPT(10)	1257911366910528101	0 2 36 38 78 80 120 122 156 158	-631281821940
SPT(16)	1257911778834055601	0 6 12 42 62 68 120 126 182 188 240 246 266 296 302 308	-219358294440
SPT(16)	1257912024376884161	0 6 18 26 62 96 120 138 140 158 182 216 252 260 272 278	26184534120
STPT(10)	1257912105329037017	0 2 30 32 72 74 114 116 144 146	107136686976
TPT(14)	1257912244563626417	0 2 150 152 252 254 342 344 360 362 432 434 600 602	246371276376
STPT(10)	1257912476956332017	0 2 60 62 72 74 84 86 144 146	478763981976
SPT(16)	1257912605740605883	0 18 34 54 66 136 150 186 238 274 288 358 370 390 406 424	607548255842