Prime p₀= 2356484737313065031 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 10 2 106 2 40 2 28 2 130 2 (?)
a_n: 0 2 126 128 138 140 246 248 288 290 318 320 450 452
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: 452
Found by: Xenon
db: batch=81, k=14, 124 10 106 40 28 130

STPT(10)	2356482841727813369	0 2 18 20 30 32 42 44 60 62	-1895585251662
TPT(14)	2356483148273769497	0 2 162 164 204 206 294 296 300 302 342 344 402 404	-1589039295534
STPT(12)	2356483175868821891	0 2 36 38 48 50 78 80 90 92 126 128	-1561444243140
STPT(10)	2356483281230153027	0 2 30 32 42 44 54 56 84 86	-1456082912004
STPT(10)	2356483592259624797	0 2 54 56 72 74 90 92 144 146	-1145053440234
SPT(16)	2356484476096420279	0 58 82 108 112 150 192 210 262 280 322 360 364 390 414 472	-261216644752
SPT(16)	2356485180399917603	0 24 156 194 218 234 248 266 318 336 350 366 390 428 560 584	443086852572
SPT(16)	2356485206555333857	0 24 34 54 66 70 90 136 150 196 216 220 232 252 262 286	469242268826
SPT(16)	2356485338229957367	0 6 114 142 180 202 214 222 244 252 264 286 324 352 460 466	600916892336
STPT(10)	2356486235880383219	0 2 18 20 30 32 42 44 60 62	1498567318188
SPT(16)	2356486516931674019	0 14 18 62 74 92 102 110 252 260 270 288 300 344 348 362	1779618608988