Prime p₀= 2959699619230244711 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 82 2 64 2 40 2 40 2 (?)
a_n: 0 2 30 32 36 38 120 122 186 188 228 230 270 272
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: 272
Found by: fzs600
db: batch=82, k=14, 28 4 82 64 40 40

SPT(16)	2959699069536524657	0 2 30 66 80 86 90 104 132 146 150 156 170 206 234 236	-549693720054
SPT(16)	2959699084901126863	0 54 84 94 120 136 138 150 154 166 168 184 210 220 250 304	-534329117848
SPT(16)	2959699093887611923	0 18 78 96 144 154 168 196 198 226 240 250 298 316 376 394	-525342632788
STPT(10)	2959699170086164019	0 2 42 44 90 92 138 140 180 182	-449144080692
SPT(16)	2959699437929031001	0 18 22 28 52 70 162 168 172 178 270 288 312 318 322 340	-181301213710
STPT(10)	2959699452860905421	0 2 6 8 18 20 30 32 36 38	-166369339290
SPT(16)	2959700036289055747	0 4 46 102 112 120 130 190 216 276 286 294 304 360 402 406	417058811036
STPT(10)	2959700509870475279	0 2 18 20 30 32 42 44 60 62	890640230568
STPT(10)	2959700743281630611	0 2 6 8 48 50 90 92 96 98	1124051385900
TPT(14)	2959701283452226919	0 2 102 104 180 182 210 212 222 224 270 272 300 302	1664221982208
SPT(16)	2959701412298523439	0 18 40 78 84 120 148 150 208 210 238 274 280 318 340 358	1793068278728