Prime p₀= 2043778399803552077 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 28 2 88 2 10 2 10 2 196 2 (?)
a_n: 0 2 120 122 150 152 240 242 252 254 264 266 462 464
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: 464
Found by: Landjunge
db: batch=80, k=14, 118 28 88 10 10 196

TPT(14)	2043777787056967601	0 2 66 68 78 80 120 122 126 128 318 320 330 332	-612746584476
STPT(10)	2043777909273812597	0 2 54 56 72 74 90 92 144 146	-490529739480
SPT(16)	2043777915211521371	0 68 72 126 128 150 168 242 276 350 368 390 392 446 450 518	-484592030706
SPT(16)	2043778083129218039	0 38 42 102 104 134 140 158 234 252 258 288 290 350 354 392	-316674334038
TPT(14)	2043778222192134581	0 2 18 20 60 62 96 98 126 128 150 152 156 158	-177611417496
STPT(10)	2043778348979634857	0 2 42 44 72 74 102 104 144 146	-50823917220
SPT(16)	2043778532538661991	0 18 36 62 78 90 132 150 158 176 218 230 246 272 290 308	132735109914
SPT(16)	2043778545312904787	0 2 72 80 122 134 150 162 164 176 192 204 246 254 324 326	145509352710
STPT(10)	2043778914607253597	0 2 54 56 72 74 90 92 144 146	514803701520
TPT(14)	2043779214103724897	0 2 72 74 120 122 294 296 324 326 354 356 384 386	814300172820
STPT(10)	2043779720855509937	0 2 24 26 42 44 60 62 84 86	1321051957860