Prime p₀= 2494831618605457457 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 58 2 106 2 40 2 10 2 (?)
a_n: 0 2 30 32 72 74 132 134 240 242 282 284 294 296
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: 296
Found by: Penguin
db: batch=82, k=14, 28 40 58 106 40 10

TPT(14)	2494829083380161987	0 2 54 56 84 86 90 92 132 134 240 242 264 266	-2535225295470
SPT(16)	2494829386146732347	0 30 44 84 96 102 110 144 182 216 224 230 242 282 296 326	-2232458725110
SPT(16)	2494829996177236261	0 36 66 78 136 168 196 216 232 252 280 312 370 382 412 448	-1622428221196
SPT(16)	2494830005583673609	0 22 64 88 102 112 144 148 174 178 210 220 234 258 300 322	-1613021783848
STPT(10)	2494830109576491821	0 2 36 38 78 80 120 122 156 158	-1509028965636
STPT(10)	2494830699049838909	0 2 12 14 90 92 168 170 180 182	-919555618548
TPT(14)	2494831706900542307	0 2 60 62 174 176 180 182 240 242 354 356 420 422	88295084850
STPT(10)	2494831963343305709	0 2 12 14 30 32 48 50 60 62	344737848252
SPT(16)	2494832114010885931	0 10 18 28 58 100 112 156 172 216 228 270 300 310 318 328	495405428474
SPT(16)	2494832150126264783	0 20 24 30 90 146 150 156 158 164 168 224 284 290 294 314	531520807326
SPT(16)	2494832663681052089	0 44 54 62 90 162 168 194 198 224 230 302 330 338 348 392	1045075594632