Prime p₀= 3031950822355741379 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 70 2 28 2 4 2 28 2 28 2 (?)
a_n: 0 2 60 62 132 134 162 164 168 170 198 200 228 230
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: 230
Found by: Alnitak2019
db: batch=82, k=14, 58 70 28 4 28 28

SPT(16)	3031949812201705097	0 24 30 72 104 140 164 180 224 240 264 300 332 374 380 404	-1010154036282
STPT(10)	3031949829792804749	0 2 12 14 90 92 168 170 180 182	-992562936630
SPT(16)	3031950035536516883	0 24 26 38 54 60 78 218 276 416 434 440 456 468 470 494	-786819224496
TPT(14)	3031950061673631029	0 2 192 194 198 200 252 254 330 332 372 374 390 392	-760682110350
SPT(16)	3031950148195074143	0 24 38 48 56 78 90 98 126 134 146 168 176 186 200 224	-674160667236
SPT(16)	3031950713761515341	0 32 60 78 92 120 152 180 230 258 290 318 332 350 378 410	-108594226038
STPT(10)	3031952214875485799	0 2 18 20 30 32 42 44 60 62	1392519744420
STPT(10)	3031952506767903749	0 2 18 20 30 32 42 44 60 62	1684412162370
STPT(10)	3031952739873517907	0 2 42 44 72 74 102 104 144 146	1917517776528
SPT(16)	3031952749357321499	0 42 78 84 132 152 188 194 198 204 240 260 308 314 350 392	1927001580120
SPT(16)	3031953250591421461	0 42 70 82 130 148 166 208 210 252 270 288 336 348 376 418	2428235680082