Prime p₀= 3091597175679588221 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 28 2 28 2 76 2 46 2 (?)
a_n: 0 2 18 20 60 62 90 92 120 122 198 200 246 248
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: 248
Found by: suriv
db: batch=83, k=14, 16 40 28 28 76 46

STPT(10)	3091595152165745471	0 2 36 38 78 80 120 122 156 158	-2023513842750
SPT(16)	3091595317502973899	0 8 72 78 158 170 210 224 228 242 282 294 374 380 444 452	-1858176614322
STPT(10)	3091595406524042651	0 2 30 32 78 80 126 128 156 158	-1769155545570
STPT(10)	3091595865047476487	0 2 30 32 42 44 54 56 84 86	-1310632111734
STPT(10)	3091596484046453597	0 2 30 32 42 44 54 56 84 86	-691633134624
SPT(16)	3091596675884782907	0 74 80 116 122 144 162 204 212 254 272 294 300 336 342 416	-499794805314
SPT(16)	3091597876351179359	0 8 42 62 104 110 132 150 152 170 192 198 240 260 294 302	700671591138
STPT(10)	3091598322970620311	0 2 30 32 60 62 90 92 120 122	1147291032090
SPT(16)	3091598720977309549	0 4 12 52 90 100 130 144 208 222 252 262 300 340 348 352	1545297721328
TPT(14)	3091599067770165941	0 2 6 8 18 20 30 32 216 218 258 260 330 332	1892090577720
TPT(14)	3091599109341194237	0 2 42 44 120 122 132 134 240 242 282 284 294 296	1933661606016