Prime p₀= 2379044832256501559 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 124 2 220 2 10 2 88 2 4 2 (?)
a_n: 0 2 12 14 138 140 360 362 372 374 462 464 468 470
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: 470
Found by: Landjunge
db: batch=81, k=14, 10 124 220 10 88 4

SPT(18)	2379042524981168693	0 8 30 54 80 86 128 206 240 314 348 426 468 474 500 524 546 554	-2307275332866
STPT(10)	2379042802894821821	0 2 6 8 18 20 30 32 36 38	-2029361679738
STPT(10)	2379042987177262487	0 2 54 56 72 74 90 92 144 146	-1845079239072
STPT(10)	2379043935748194311	0 2 36 38 78 80 120 122 156 158	-896508307248
TPT(14)	2379044108972861171	0 2 18 20 156 158 186 188 240 242 246 248 396 398	-723283640388
SPT(16)	2379044450705450987	0 6 20 26 44 72 92 96 170 174 194 222 240 246 260 266	-381551050572
SPT(16)	2379044850375444637	0 84 112 130 144 240 280 282 304 306 346 442 456 474 502 586	18118943078
STPT(10)	2379045046308920159	0 2 18 20 30 32 42 44 60 62	214052418600
SPT(16)	2379045232868936183	0 6 18 44 104 114 128 156 158 186 200 210 270 296 308 314	400612434624
SPT(18)	2379045646045984907	0 12 14 36 54 102 134 140 144 182 186 192 224 272 290 312 314 326	813789483348
SPT(16)	2379045965968796191	0 16 22 60 88 90 118 156 172 210 238 240 268 306 312 328	1133712294632