Prime p₀= 2429459240369602277 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 40 2 16 2 40 2 106 2 16 2 (?)
a_n: 0 2 72 74 114 116 132 134 174 176 282 284 300 302
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: 302
Found by: [SG-FC] hl
db: batch=82, k=14, 70 40 16 40 106 16

STPT(10)	2429458286815830869	0 2 18 20 30 32 42 44 60 62	-953553771408
SPT(16)	2429458366665092999	0 20 42 74 84 110 140 158 294 312 342 368 378 410 432 452	-873704509278
TPT(14)	2429458544615029691	0 2 36 38 96 98 150 152 156 158 168 170 210 212	-695754572586
SPT(16)	2429458599672737483	0 14 26 36 48 104 114 146 168 200 210 266 278 288 300 314	-640696864794
SPT(16)	2429458880097472351	0 16 72 90 102 150 156 190 198 232 238 286 298 316 372 388	-360272129926
SPT(16)	2429459060548279811	0 8 120 162 182 198 216 272 276 332 350 366 386 428 540 548	-179821322466
STPT(10)	2429459262712360127	0 2 12 14 42 44 72 74 84 86	22342757850
SPT(16)	2429459426921601749	0 12 20 48 54 104 122 152 210 240 258 308 314 342 350 362	186551999472
STPT(10)	2429459883857765789	0 2 18 20 30 32 42 44 60 62	643488163512
SPT(16)	2429459997961069519	0 12 70 78 108 112 118 160 180 222 228 232 262 270 328 340	757591467242
STPT(10)	2429460089196665267	0 2 12 14 42 44 72 74 84 86	848827062990