Prime p₀= 1856328413836719731 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 58 2 10 2 58 2 64 2 10 2 (?)
a_n: 0 2 138 140 198 200 210 212 270 272 336 338 348 350
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: 350
Found by: [AF>Libristes] Dudumomo
db: batch=79, k=14, 136 58 10 58 64 10

STPT(10)	1856327731278509519	0 2 18 20 30 32 42 44 60 62	-682558210212
SPT(16)	1856327811023389927	0 34 40 42 66 126 160 172 174 186 220 280 304 306 312 346	-602813329804
SPT(16)	1856328082900892113	0 6 66 94 118 120 130 144 160 174 184 186 210 238 298 304	-330935827618
SPT(16)	1856328129844361297	0 36 62 90 92 104 146 152 174 180 222 234 236 264 290 326	-283992358434
STPT(12)	1856328150645063647	0 2 12 14 54 56 60 62 102 104 114 116	-263191656084
SPT(16)	1856328336263843219	0 12 24 42 68 72 128 162 170 204 260 264 290 308 320 332	-77572876512
SPT(16)	1856328500337593069	0 2 98 152 168 170 182 222 230 270 282 284 300 354 450 452	86500873338
TPT(14)	1856328535875505397	0 2 24 26 102 104 144 146 222 224 252 254 264 266	122038785666
SPT(16)	1856328698831851427	0 44 56 66 96 170 240 276 284 320 390 464 494 504 516 560	284995131696
SPT(16)	1856328722180505217	0 36 46 52 84 106 120 144 172 196 210 232 264 270 280 316	308343785486
TPT(14)	1856328726441047657	0 2 12 14 30 32 162 164 204 206 210 212 264 266	312604327926