Prime p₀= 2676388788948280871 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 58 2 40 2 94 2 82 2 58 2 (?)
a_n: 0 2 48 50 108 110 150 152 246 248 330 332 390 392
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: 392
Found by: [SG-FC] hl
db: batch=82, k=14, 46 58 40 94 82 58

SPT(16)	2676387076702499911	0 10 18 36 46 66 76 78 100 102 112 132 142 160 168 178	-1712245780960
STPT(10)	2676387689683912109	0 2 42 44 90 92 138 140 180 182	-1099264368762
SPT(16)	2676387841568594819	0 14 50 68 78 120 150 204 224 278 308 350 360 378 414 428	-947379686052
SPT(16)	2676388184093000353	0 34 58 118 124 130 184 208 216 240 294 300 306 366 390 424	-604855280518
STPT(10)	2676388531951272119	0 2 42 44 60 62 78 80 120 122	-256997008752
TPT(14)	2676388552316967407	0 2 12 14 132 134 294 296 342 344 372 374 384 386	-236631313464
SPT(16)	2676388966860563459	0 30 50 98 120 140 168 182 228 242 270 290 312 360 380 410	177912282588
SPT(16)	2676389081379667183	0 24 54 78 84 124 138 178 180 220 234 274 280 304 334 358	292431386312
SPT(16)	2676390008980610399	0 2 12 44 78 114 138 144 218 224 248 284 318 350 360 362	1220032329528
STPT(12)	2676390170534960681	0 2 48 50 90 92 126 128 168 170 216 218	1381586679810
STPT(10)	2676390234891021497	0 2 30 32 60 62 90 92 120 122	1445942740626