Prime p₀= 788943305300622317 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 34 2 22 2 148 2 28 2 16 2 (?)
a_n: 0 2 24 26 60 62 84 86 234 236 264 266 282 284
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: 284
Found by: [SG]FX
db: batch=73, k=14, 22 34 22 148 28 16

TPT(14)	788941221722963147	0 2 60 62 102 104 114 116 150 152 210 212 222 224	-2083577659170
STPT(10)	788941923541338911	0 2 36 38 78 80 120 122 156 158	-1381759283406
SPT(16)	788942727794814113	0 24 26 30 66 174 176 204 266 294 296 404 440 444 446 470	-577505808204
SPT(16)	788942921136879371	0 48 62 98 102 162 168 186 272 290 296 356 360 396 410 458	-384163742946
SPT(16)	788942994148795391	0 6 42 80 96 126 162 180 302 320 356 386 402 440 476 482	-311151826926
SPT(16)	788943290211057637	0 52 84 94 96 106 130 154 162 186 210 220 222 232 264 316	-15089564680
STPT(10)	788943564435034241	0 2 36 38 78 80 120 122 156 158	259134411924
SPT(16)	788943751490878691	0 8 32 42 92 108 116 126 152 162 170 186 236 246 270 278	446190256374
SPT(16)	788943755608054801	0 6 28 96 118 150 166 178 210 222 238 270 292 360 382 388	450307432484
STPT(10)	788943807070208591	0 2 6 8 48 50 90 92 96 98	501769586274
STPT(10)	788943902869008881	0 2 36 38 78 80 120 122 156 158	597568386564