Prime p₀= 2904582789916710359 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 160 2 106 2 100 2 34 2 100 2 28 2 (?)
a_n: 0 2 162 164 270 272 372 374 408 410 510 512 540 542
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: 542
Found by: Landjunge
db: batch=82, k=14, 160 106 100 34 100 28

STPT(10)	2904581178133928429	0 2 12 14 90 92 168 170 180 182	-1611782781930
STPT(10)	2904581236409571527	0 2 12 14 42 44 72 74 84 86	-1553507138832
SPT(16)	2904581272405653167	0 12 20 26 32 42 56 90 152 186 200 210 216 222 230 242	-1517511057192
SPT(16)	2904581958315026369	0 44 50 72 102 128 150 158 174 182 204 230 260 282 288 332	-831601683990
SPT(16)	2904582284647904933	0 8 74 90 120 146 150 156 218 224 228 254 284 300 366 374	-505268805426
SPT(16)	2904582579992673889	0 24 30 52 70 82 100 108 184 192 210 222 240 262 268 292	-209924036470
STPT(10)	2904582832025896919	0 2 18 20 60 62 102 104 120 122	42109186560
STPT(10)	2904582966808501019	0 2 18 20 30 32 42 44 60 62	176891790660
SPT(16)	2904582968613634661	0 42 56 62 78 80 86 92 126 132 138 140 156 162 176 218	178696924302
STPT(10)	2904583384731691877	0 2 30 32 42 44 54 56 84 86	594814981518
SPT(16)	2904583507292784269	0 2 12 14 54 122 134 140 192 198 210 278 318 320 330 332	717376073910