Prime p₀= 1235127915561552191 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 76 2 10 2 28 2 4 2 40 2 (?)
a_n: 0 2 90 92 168 170 180 182 210 212 216 218 258 260
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: 260
Found by: damotbe
db: batch=77, k=14, 88 76 10 28 4 40

SPT(16)	1235126764710330977	0 24 30 50 84 92 114 140 144 170 192 200 234 254 260 284	-1150851221214
SPT(16)	1235126869520023057	0 34 84 106 112 120 160 186 190 216 256 264 270 292 342 376	-1046041529134
SPT(16)	1235127515588925851	0 12 18 68 78 90 146 198 200 252 308 320 330 380 386 398	-399972626340
STPT(10)	1235127650580241007	0 2 42 44 72 74 102 104 144 146	-264981311184
SPT(18)	1235127665130101333	0 8 44 90 138 188 194 210 230 288 308 324 330 380 428 474 510 518	-250431450858
STPT(10)	1235127781589508341	0 2 66 68 108 110 150 152 216 218	-133972043850
TPT(14)	1235128489691428247	0 2 12 14 24 26 60 62 84 86 114 116 264 266	574129876056
SPT(16)	1235128620510128287	0 10 12 40 136 142 172 180 256 264 294 300 396 424 426 436	704948576096
SPT(16)	1235128848810288181	0 18 70 88 96 178 220 222 226 228 270 352 360 378 430 448	933248735990
STPT(10)	1235128853421467747	0 2 30 32 42 44 54 56 84 86	937859915556
TPT(14)	1235128923151991759	0 2 192 194 222 224 342 344 390 392 462 464 468 470	1007590439568