Prime p₀= 1214592529991156357 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 52 2 34 2 88 2 10 2 10 2 (?)
a_n: 0 2 60 62 114 116 150 152 240 242 252 254 264 266
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: 266
Found by: xii5ku
db: batch=77, k=14, 58 52 34 88 10 10

SPT(16)	1214591326069450151	0 30 50 62 72 188 198 218 300 320 330 446 456 468 488 518	-1203921706206
SPT(16)	1214591538572539003	0 78 84 106 120 126 136 174 220 258 268 274 288 310 316 394	-991418617354
STPT(10)	1214591540767159127	0 2 60 62 72 74 84 86 144 146	-989223997230
STPT(10)	1214592058751701709	0 2 48 50 60 62 72 74 120 122	-471239454648
STPT(10)	1214592284815555871	0 2 36 38 78 80 120 122 156 158	-245175600486
SPT(16)	1214592440584624103	0 38 44 48 66 104 114 146 168 200 210 248 266 270 276 314	-89406532254
SPT(16)	1214592545859444743	0 36 60 78 90 146 168 186 248 266 288 344 356 374 398 434	15868288386
TPT(14)	1214592560262974909	0 2 18 20 240 242 252 254 282 284 300 302 342 344	30271818552
SPT(16)	1214592605410799569	0 28 30 54 58 70 78 118 120 160 168 180 184 208 210 238	75419643212
STPT(10)	1214592620267936879	0 2 12 14 30 32 48 50 60 62	90276780522
STPT(10)	1214593184678614577	0 2 12 14 72 74 132 134 144 146	654687458220