Prime p₀= 1235151318191627489 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 28 2 88 2 16 2 10 2 (?)
a_n: 0 2 30 32 90 92 120 122 210 212 228 230 240 242
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: 242
Found by: damotbe
db: batch=77, k=14, 28 58 28 88 16 10

SPT(16)	1235149921089556061	0 56 66 78 140 150 188 200 258 270 308 318 380 392 402 458	-1397102071428
STPT(10)	1235150050774132847	0 2 54 56 72 74 90 92 144 146	-1267417494642
STPT(10)	1235150140032487487	0 2 30 32 42 44 54 56 84 86	-1178159140002
SPT(16)	1235150260940645767	0 6 12 34 46 54 64 130 156 222 232 240 252 274 280 286	-1057250981722
STPT(10)	1235150313646821287	0 2 72 74 102 104 132 134 204 206	-1004544806202
STPT(10)	1235150802021148457	0 2 30 32 42 44 54 56 84 86	-516170479032
SPT(16)	1235151414228697717	0 6 72 94 114 120 124 136 180 192 196 202 222 244 310 316	96037070228
SPT(16)	1235151467261911223	0 24 26 44 56 168 234 258 296 320 386 498 510 528 530 554	149070283734
SPT(16)	1235151531446213023	0 90 114 118 136 154 196 210 334 348 390 408 426 430 454 544	213254585534
STPT(10)	1235151966841269077	0 2 30 32 42 44 54 56 84 86	648649641588
TPT(14)	1235152224843041117	0 2 42 44 54 56 84 86 174 176 264 266 294 296	906651413628