Prime p₀= 2621681823356271407 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 46 2 22 2 124 2 10 2 (?)
a_n: 0 2 30 32 42 44 90 92 114 116 240 242 252 254
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: 254
Found by: arkiss
db: batch=82, k=14, 28 10 46 22 124 10

SPT(16)	2621680655180843083	0 24 46 58 66 70 88 100 114 126 144 148 156 168 190 214	-1168175428324
SPT(16)	2621680749650094707	0 14 24 56 80 144 164 186 224 246 266 330 354 386 396 410	-1073706176700
SPT(16)	2621680887264707743	0 34 70 94 114 160 216 250 270 304 360 406 426 450 486 520	-936091563664
SPT(16)	2621681103209158499	0 20 32 48 60 98 104 108 134 138 144 182 194 210 222 242	-720147112908
SPT(16)	2621681217284169373	0 4 54 106 130 168 196 216 238 258 286 324 348 400 450 454	-606072102034
SPT(16)	2621681406953363393	0 18 20 60 86 126 140 188 198 246 260 300 326 366 368 386	-416402908014
SPT(16)	2621681884679159377	0 40 76 126 144 150 174 192 274 292 316 322 340 390 426 466	61322887970
STPT(10)	2621681970770939507	0 2 54 56 72 74 90 92 144 146	147414668100
STPT(10)	2621682245842232327	0 2 42 44 72 74 102 104 144 146	422485960920
STPT(10)	2621682363491287037	0 2 30 32 42 44 54 56 84 86	540135015630
STPT(10)	2621682979760693699	0 2 12 14 90 92 168 170 180 182	1156404422292