Prime p₀= 2531274903167390447 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 70 2 64 2 28 2 22 2 34 2 (?)
a_n: 0 2 72 74 144 146 210 212 240 242 264 266 300 302
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: 302
Found by: [SG-FC] hl
db: batch=82, k=14, 70 70 64 28 22 34

SPT(16)	2531271288168460769	0 8 50 54 68 122 152 162 200 210 240 294 308 312 354 362	-3614998929678
TPT(14)	2531271391186583189	0 2 18 20 60 62 72 74 138 140 258 260 282 284	-3511980807258
SPT(13)	2531271757399427807	0 42 66 72 120 156 246 336 372 420 426 450 492	-3145767962640
SPT(16)	2531271805554251887	0 4 54 72 102 130 154 156 220 222 246 274 304 322 372 376	-3097613138560
TPT(14)	2531272125450973691	0 2 78 80 90 92 120 122 150 152 180 182 216 218	-2777716416756
STPT(12)	2531273294436269441	0 2 36 38 60 62 186 188 210 212 246 248	-1608731121006
STPT(10)	2531275512231939017	0 2 30 32 42 44 54 56 84 86	609064548570
SPT(16)	2531275741056042581	0 2 20 72 80 90 96 128 150 182 188 198 206 258 276 278	837888652134
STPT(10)	2531275827363034649	0 2 42 44 60 62 78 80 120 122	924195644202
STPT(12)	2531276127584141807	0 2 42 44 60 62 114 116 132 134 174 176	1224416751360
STPT(10)	2531276262649000001	0 2 36 38 78 80 120 122 156 158	1359481609554