Prime p₀= 1339698267670557791 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 58 2 10 2 16 2 208 2 40 2 (?)
a_n: 0 2 6 8 66 68 78 80 96 98 306 308 348 350
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: 350
Found by: Theadalus
db: batch=77, k=14, 4 58 10 16 208 40

SPT(16)	1339696697145425737	0 4 40 46 52 72 94 100 126 132 154 174 180 186 222 226	-1570525132054
SPT(16)	1339696908071112923	0 68 114 120 138 140 176 204 230 258 294 296 314 320 366 434	-1359599444868
STPT(10)	1339697409134596241	0 2 36 38 78 80 120 122 156 158	-858535961550
SPT(16)	1339697424280979977	0 6 10 16 64 72 96 132 184 220 244 252 300 306 310 316	-843389577814
SPT(16)	1339697763606742313	0 20 26 30 78 140 146 156 158 168 174 236 284 288 294 314	-504063815478
SPT(16)	1339697941400409631	0 42 66 102 120 160 172 186 196 210 222 262 280 316 340 382	-326270148160
SPT(16)	1339698302514959693	0 116 126 164 174 176 180 186 224 230 234 236 246 284 294 410	34844401902
STPT(10)	1339698372143630087	0 2 30 32 42 44 54 56 84 86	104473072296
SPT(16)	1339698476279314199	0 14 54 60 74 80 98 152 180 234 252 258 272 278 318 332	208608756408
STPT(10)	1339698616509842117	0 2 12 14 42 44 72 74 84 86	348839284326
SPT(16)	1339698722613405793	0 6 28 46 84 94 108 114 130 136 150 160 198 216 238 244	454942848002