Prime p₀= 3031603902788993507 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 124 2 10 2 100 2 106 2 10 2 (?)
a_n: 0 2 24 26 150 152 162 164 264 266 372 374 384 386
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: 386
Found by: raddoc
db: batch=82, k=14, 22 124 10 100 106 10

SPT(16)	3031601603150444759	0 14 42 54 138 152 164 204 308 348 360 374 458 470 498 512	-2299638548748
SPT(16)	3031602145448184523	0 18 34 40 90 130 144 154 180 190 204 244 294 300 316 334	-1757340808984
STPT(10)	3031602693617082887	0 2 30 32 42 44 54 56 84 86	-1209171910620
SPT(18)	3031602819283434947	0 12 24 56 92 122 176 236 266 270 300 360 414 444 480 512 524 536	-1083505558560
STPT(10)	3031603682269132127	0 2 42 44 132 134 222 224 264 266	-220519861380
SPT(16)	3031603690423158509	0 2 44 60 84 138 168 170 192 194 224 278 302 318 360 362	-212365834998
STPT(10)	3031603964011025111	0 2 36 38 78 80 120 122 156 158	61222031604
SPT(16)	3031604053433718907	0 30 46 70 72 82 124 130 156 162 204 214 216 240 256 286	150644725400
TPT(14)	3031604262332723849	0 2 30 32 90 92 102 104 168 170 252 254 288 290	359543730342
SPT(16)	3031604303054537393	0 84 96 140 144 150 156 198 206 248 254 260 264 308 320 404	400265543886
SPT(16)	3031604709968996657	0 12 14 30 44 96 156 210 236 290 350 402 416 432 434 446	807180003150