Prime p₀= 2856846597138834149 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 70 2 16 2 40 2 4 2 40 2 (?)
a_n: 0 2 120 122 192 194 210 212 252 254 258 260 300 302
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: 302
Found by: fzs600
db: batch=82, k=14, 118 70 16 40 4 40

SPT(18)	2856843949057071121	0 18 36 66 130 142 156 168 186 232 250 262 276 288 352 382 400 418	-2648081763028
TPT(14)	2856845028204624701	0 2 60 62 96 98 126 128 138 140 186 188 210 212	-1568934209448
SPT(16)	2856845253919058069	0 2 12 20 38 42 44 48 104 108 110 114 132 140 150 152	-1343219776080
STPT(10)	2856845323420909529	0 2 42 44 60 62 78 80 120 122	-1273717924620
STPT(10)	2856846423616917857	0 2 30 32 72 74 114 116 144 146	-173521916292
SPT(16)	2856846430865654833	0 4 6 46 58 130 154 184 240 270 294 366 378 418 420 424	-166273179316
STPT(10)	2856846621115060631	0 2 30 32 78 80 126 128 156 158	23976226482
SPT(16)	2856847595021538683	0 6 14 24 36 56 80 90 224 234 258 278 290 300 308 314	997882704534
STPT(10)	2856847621979902877	0 2 60 62 72 74 84 86 144 146	1024841068728
SPT(16)	2856847735593834497	0 30 56 60 72 86 176 180 242 246 336 350 362 366 392 422	1138455000348
STPT(10)	2856848072789136791	0 2 30 32 78 80 126 128 156 158	1475650302642