Prime p₀= 826041764904626381 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 4 2 58 2 10 2 10 2 16 2 (?)
a_n: 0 2 60 62 66 68 126 128 138 140 150 152 168 170
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: 170
Found by: marsinph
db: batch=73, k=14, 58 4 58 10 10 16

SPT(16)	826040940159194401	0 6 36 52 70 76 102 118 180 196 222 228 246 262 292 298	-824745431980
STPT(10)	826041017360344991	0 2 6 8 18 20 30 32 36 38	-747544281390
SPT(16)	826041104009899387	0 12 60 96 112 114 142 166 210 234 262 264 280 316 364 376	-660894726994
SPT(16)	826041355965303913	0 24 54 78 94 96 106 130 144 168 178 180 196 220 250 274	-408939322468
STPT(10)	826041440599898837	0 2 30 32 42 44 54 56 84 86	-324304727544
SPT(16)	826041593365854847	0 10 16 94 102 126 130 150 196 216 220 244 252 330 336 346	-171538771534
SPT(16)	826042005545270167	0 10 16 36 40 54 70 132 184 246 262 276 280 300 306 316	240640643786
SPT(16)	826042180492154111	0 38 56 80 90 96 98 150 206 258 260 266 276 300 318 356	415587527730
SPT(16)	826042219187763817	0 12 30 42 46 52 66 120 172 226 240 246 250 262 280 292	454283137436
STPT(10)	826042457054011469	0 2 18 20 30 32 42 44 60 62	692149385088
SPT(16)	826042491853829009	0 30 134 144 168 182 204 212 270 278 300 314 338 348 452 482	726949202628