Prime p₀= 1232929780104117959 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 28 2 10 2 100 2 118 2 (?)
a_n: 0 2 42 44 78 80 108 110 120 122 222 224 342 344
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: Theadalus
db: batch=77, k=14, 40 34 28 10 100 118

STPT(10)	1232929162996636121	0 2 30 32 78 80 126 128 156 158	-617107481838
SPT(16)	1232929177531639943	0 50 54 66 80 84 110 180 314 384 410 414 428 440 444 494	-602572478016
SPT(16)	1232929323454028567	0 2 14 24 30 42 72 80 96 104 134 146 152 162 174 176	-456650089392
STPT(10)	1232929455538284377	0 2 30 32 42 44 54 56 84 86	-324565833582
SPT(16)	1232929594578101311	0 52 108 112 118 132 138 150 178 190 196 210 216 220 276 328	-185526016648
SPT(16)	1232929597941865477	0 30 40 52 64 82 120 132 142 154 192 210 222 234 244 274	-182162252482
SPT(16)	1232930033505916703	0 44 68 74 174 198 200 270 278 348 350 374 474 480 504 548	253401798744
STPT(10)	1232930685224872367	0 2 24 26 42 44 60 62 84 86	905120754408
STPT(12)	1232930839783134179	0 2 30 32 78 80 162 164 210 212 240 242	1059679016220
STPT(10)	1232930941579873901	0 2 30 32 78 80 126 128 156 158	1161475755942
SPT(16)	1232931113096013167	0 14 30 42 116 176 236 246 470 480 540 600 674 686 702 716	1332991895208