Prime p₀= 1041324141129083387 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 10 2 10 2 64 2 118 2 10 2 (?)
a_n: 0 2 120 122 132 134 144 146 210 212 330 332 342 344
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: 344
Found by: [SG-2W]Kurzer
db: batch=76, k=14, 118 10 10 64 118 10

SPT(16)	1041323259034595477	0 6 24 30 44 66 114 146 150 182 230 252 266 272 290 296	-882094487910
SPT(16)	1041323260762714121	0 2 8 48 62 86 90 92 126 128 132 156 170 210 216 218	-880366369266
SPT(16)	1041323348381328589	0 12 52 54 70 78 108 114 118 124 154 162 178 180 220 232	-792747754798
SPT(16)	1041323396750432333	0 6 38 48 66 104 174 180 194 200 270 308 326 336 368 374	-744378651054
STPT(10)	1041323469310385249	0 2 18 20 30 32 42 44 60 62	-671818698138
SPT(16)	1041323702295353143	0 28 34 84 94 106 118 148 156 186 198 210 220 270 276 304	-438833730244
SPT(16)	1041324319151084461	0 22 70 78 96 120 126 162 166 202 208 232 250 258 306 328	178022001074
STPT(10)	1041324356427861587	0 2 12 14 72 74 132 134 144 146	215298778200
STPT(10)	1041324382654178171	0 2 6 8 48 50 90 92 96 98	241525094784
STPT(10)	1041324495324706289	0 2 48 50 90 92 132 134 180 182	354195622902
SPT(16)	1041324619612589617	0 30 42 60 82 96 100 112 114 126 130 144 166 184 196 226	478483506230