Prime p₀= 1425018442929594881 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 58 2 10 2 28 2 16 2 22 2 (?)
a_n: 0 2 96 98 156 158 168 170 198 200 216 218 240 242
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: 242
Found by: Theadalus
db: batch=78, k=14, 94 58 10 28 16 22

SPT(16)	1425017208458153251	0 30 36 90 118 148 156 190 216 250 258 288 316 370 376 406	-1234471441630
STPT(10)	1425017366301060209	0 2 18 20 30 32 42 44 60 62	-1076628534672
SPT(16)	1425017672448970571	0 6 30 80 102 132 156 168 170 182 206 236 258 308 332 338	-770480624310
SPT(16)	1425018035163196171	0 10 36 46 66 76 130 132 166 168 222 232 252 262 288 298	-407766398710
STPT(12)	1425018056547250379	0 2 30 32 42 44 90 92 102 104 132 134	-386382344502
STPT(10)	1425018199863683309	0 2 78 80 150 152 222 224 300 302	-243065911572
STPT(10)	1425018474958338509	0 2 18 20 30 32 42 44 60 62	32028743628
SPT(16)	1425018689435393561	0 26 56 66 122 126 138 176 192 230 242 246 302 312 342 368	246505798680
STPT(10)	1425018750277923431	0 2 36 38 78 80 120 122 156 158	307348328550
STPT(10)	1425019185097748291	0 2 6 8 18 20 30 32 36 38	742168153410
SPT(16)	1425019616588314379	0 20 42 68 72 120 140 162 188 210 230 278 282 308 330 350	1173658719498