Prime p₀= 783856404731723231 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 118 2 34 2 10 2 118 2 46 2 (?)
a_n: 0 2 30 32 150 152 186 188 198 200 318 320 366 368
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: 368
Found by: [SG]FX
db: batch=73, k=14, 28 118 34 10 118 46

STPT(10)	783855738921908711	0 2 36 38 78 80 120 122 156 158	-665809814520
STPT(10)	783855949388339921	0 2 36 38 78 80 120 122 156 158	-455343383310
SPT(16)	783856042444696589	0 2 20 30 78 90 144 188 294 338 392 404 452 462 480 482	-362287026642
SPT(16)	783856147029519671	0 6 8 38 48 86 90 98 150 158 162 200 210 240 242 248	-257702203560
SPT(16)	783856220494464191	0 6 12 20 68 78 86 120 188 222 230 240 288 296 302 308	-184237259040
SPT(16)	783856312910648713	0 24 88 120 190 198 220 256 288 324 346 354 424 456 520 544	-91821074518
STPT(10)	783856602144604559	0 2 18 20 30 32 42 44 60 62	197412881328
STPT(10)	783856639724256179	0 2 12 14 90 92 168 170 180 182	234992532948
SPT(16)	783856712140297373	0 6 30 36 54 84 90 114 200 224 230 260 278 284 308 314	307408574142
STPT(10)	783856751340843119	0 2 30 32 60 62 90 92 120 122	346609119888
SPT(16)	783856916352087173	0 38 68 84 98 128 168 228 260 320 360 390 404 420 450 488	511620363942