Prime p₀= 2359056563424394061 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 28 2 40 2 166 2 76 2 100 2 (?)
a_n: 0 2 18 20 48 50 90 92 258 260 336 338 438 440
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: 440
Found by: conf [MM]
db: batch=81, k=14, 16 28 40 166 76 100

SPT(16)	2359054127796891163	0 36 78 90 126 160 184 190 204 210 234 268 304 316 358 394	-2435627502898
SPT(16)	2359055035549343587	0 4 16 24 40 70 100 136 144 180 210 240 256 264 276 280	-1527875050474
SPT(16)	2359055073295231973	0 36 50 90 98 114 134 146 168 180 200 216 224 264 278 314	-1490129162088
STPT(10)	2359055411544599231	0 2 36 38 78 80 120 122 156 158	-1151879794830
SPT(16)	2359055561883390571	0 40 48 70 78 108 148 168 172 192 232 262 270 292 300 340	-1001541003490
SPT(16)	2359055745753353447	0 54 84 126 132 140 180 236 240 296 336 344 350 392 422 476	-817671040614
STPT(10)	2359056686970368051	0 2 6 8 18 20 30 32 36 38	123545973990
SPT(16)	2359056708483282617	0 20 36 56 66 90 110 122 150 162 182 206 216 236 252 272	145058888556
SPT(16)	2359056942401021521	0 28 72 88 102 142 172 252 268 348 378 418 432 448 492 520	378976627460
STPT(10)	2359056967788097349	0 2 48 50 90 92 132 134 180 182	404363703288
SPT(16)	2359057000998443813	0 68 74 86 90 104 114 138 176 200 210 224 228 240 246 314	437574049752