Prime p₀= 925141820027453177 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 28 2 40 2 40 2 4 2 (?)
a_n: 0 2 42 44 90 92 120 122 162 164 204 206 210 212
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: 212
Found by: JonS
db: batch=76, k=14, 40 46 28 40 40 4

SPT(16)	925141172951101567	0 4 40 42 52 54 94 96 130 132 172 174 184 186 222 226	-647076351610
STPT(12)	925141172951101607	0 2 12 14 54 56 90 92 132 134 144 146	-647076351570
STPT(10)	925141195263298757	0 2 42 44 72 74 102 104 144 146	-624764154420
SPT(16)	925141634192161693	0 4 84 136 178 196 208 268 306 366 378 396 438 490 570 574	-185835291484
SPT(16)	925141676701541707	0 4 22 100 136 156 196 204 262 270 310 330 366 444 462 466	-143325911470
STPT(10)	925141783226365457	0 2 30 32 42 44 54 56 84 86	-36801087720
SPT(16)	925142225549786131	0 6 30 52 72 76 82 108 160 186 192 196 216 238 262 268	405522332954
SPT(16)	925142365849321453	0 10 40 60 64 66 124 150 184 210 268 270 274 294 324 334	545821868276
STPT(12)	925142644395259229	0 2 42 44 78 80 132 134 168 170 210 212	824367806052
TPT(14)	925142644395259229	0 2 42 44 78 80 132 134 168 170 210 212 252 254	824367806052
SPT(16)	925142862082144333	0 6 40 46 90 94 108 124 180 196 210 214 258 264 298 304	1042054691156