Prime p₀= 2531308566353351507 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 112 2 76 2 10 2 154 2 (?)
a_n: 0 2 30 32 90 92 204 206 282 284 294 296 450 452
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: JayPi
db: batch=82, k=14, 28 58 112 76 10 154

SPT(16)	2531306144586602297	0 14 24 54 102 104 120 140 186 206 222 224 272 302 312 326	-2421766749210
STPT(10)	2531306158360138301	0 2 6 8 18 20 30 32 36 38	-2407993213206
SPT(16)	2531306277636584039	0 12 54 144 224 260 264 278 294 308 312 348 428 518 560 572	-2288716767468
TPT(14)	2531306362438249271	0 2 30 32 36 38 66 68 78 80 126 128 150 152	-2203915102236
STPT(10)	2531307888511998719	0 2 12 14 30 32 48 50 60 62	-677841352788
SPT(16)	2531308517137679219	0 2 30 42 120 162 168 182 198 212 218 260 338 350 378 380	-49215672288
STPT(10)	2531308723802353679	0 2 18 20 30 32 42 44 60 62	157449002172
STPT(10)	2531308827976494491	0 2 30 32 78 80 126 128 156 158	261623142984
STPT(10)	2531309266121782841	0 2 30 32 78 80 126 128 156 158	699768431334
SPT(16)	2531309622744747007	0 4 30 42 100 114 132 144 172 184 202 216 274 286 312 316	1056391395500
SPT(16)	2531309683866157357	0 4 10 42 72 114 120 144 160 184 190 232 262 294 300 304	1117512805850