Prime p₀= 2922304307046366887 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 16 2 76 2 10 2 70 2 4 2 (?)
a_n: 0 2 54 56 72 74 150 152 162 164 234 236 240 242
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: 242
Found by: [SG-FC] hl
db: batch=82, k=14, 52 16 76 10 70 4

TPT(14)	2922303408639208001	0 2 36 38 48 50 78 80 198 200 258 260 336 338	-898407158886
SPT(16)	2922303527849120029	0 42 52 88 90 108 130 138 172 180 202 220 222 258 268 310	-779197246858
SPT(16)	2922303998119688183	0 18 66 74 96 108 110 134 210 234 236 248 270 278 326 344	-308926678704
STPT(10)	2922304147600277117	0 2 12 14 42 44 72 74 84 86	-159446089770
SPT(16)	2922304160212167391	0 100 108 112 160 232 238 282 286 330 336 408 456 460 468 568	-146834199496
TPT(14)	2922304215974786327	0 2 12 14 114 116 144 146 150 152 222 224 234 236	-91071580560
STPT(10)	2922304385513073191	0 2 36 38 78 80 120 122 156 158	78466706304
SPT(16)	2922304708444295479	0 12 18 30 40 42 54 60 112 118 130 132 142 154 160 172	401397928592
SPT(16)	2922304885852477007	0 2 32 50 54 60 114 116 120 122 176 182 186 204 234 236	578806110120
STPT(10)	2922305196276519971	0 2 30 32 78 80 126 128 156 158	889230153084
SPT(16)	2922305821236359521	0 18 78 120 132 160 162 186 262 286 288 316 328 370 430 448	1514189992634