Prime p₀= 2260824587504131721 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 64 2 70 2 16 2 22 2 (?)
a_n: 0 2 48 50 90 92 156 158 228 230 246 248 270 272
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: 272
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 46 40 64 70 16 22

STPT(10)	2260823936191983089	0 2 12 14 90 92 168 170 180 182	-651312148632
STPT(10)	2260823943766371407	0 2 30 32 72 74 114 116 144 146	-643737760314
SPT(16)	2260824232166480801	0 8 20 32 42 78 90 122 228 260 272 308 318 330 342 350	-355337650920
SPT(16)	2260824233453589283	0 16 28 30 60 78 88 90 154 156 166 184 214 216 228 244	-354050542438
SPT(16)	2260824347623261789	0 12 18 54 78 108 132 160 222 250 274 304 328 364 370 382	-239880869932
STPT(10)	2260824416523605729	0 2 18 20 30 32 42 44 60 62	-170980525992
STPT(10)	2260824610983282341	0 2 6 8 48 50 90 92 96 98	23479150620
SPT(16)	2260824712385549281	0 6 12 28 66 88 90 130 138 178 180 202 240 256 262 268	124881417560
SPT(16)	2260824830650512509	0 8 12 18 50 60 120 122 180 182 242 252 284 290 294 302	243146380788
STPT(10)	2260824940529971481	0 2 30 32 120 122 210 212 240 242	353025839760
SPT(16)	2260826330829611723	0 26 36 50 66 96 110 120 140 150 164 194 210 224 234 260	1743325480002