Prime p₀= 1642132015203810797 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 16 2 10 2 28 2 10 2 (?)
a_n: 0 2 60 62 102 104 120 122 132 134 162 164 174 176
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: 176
Found by: [SG-2W]Kurzer
db: batch=78, k=14, 58 40 16 10 28 10

SPT(16)	1642131502260569729	0 24 44 80 92 120 132 138 164 170 182 210 222 258 278 302	-512943241068
SPT(16)	1642131503322037963	0 6 30 34 60 100 114 118 156 160 174 214 240 244 268 274	-511881772834
SPT(16)	1642131524478787697	0 12 36 50 60 80 92 200 312 420 432 452 462 476 500 512	-490725023100
STPT(10)	1642131668714426579	0 2 18 20 30 32 42 44 60 62	-346489384218
SPT(16)	1642131938895873827	0 12 26 62 80 84 162 176 180 194 272 276 294 330 344 356	-76307936970
SPT(16)	1642131987131312513	0 78 90 110 158 188 200 218 228 246 258 288 336 356 368 446	-28072498284
SPT(16)	1642132139760654611	0 26 42 56 110 158 170 180 188 198 210 258 312 326 342 368	124556843814
STPT(10)	1642132295321686697	0 2 42 44 72 74 102 104 144 146	280117875900
SPT(16)	1642132411377138511	0 10 22 28 48 52 102 106 132 136 186 190 210 216 228 238	396173327714
SPT(16)	1642132556446316587	0 6 42 60 90 120 130 154 162 186 196 226 256 274 310 316	541242505790
SPT(16)	1642132576935131417	0 2 30 36 56 80 146 206 300 360 426 450 470 476 504 506	561731320620