Prime p₀= 2622964023742004321 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 10 2 160 2 46 2 100 2 (?)
a_n: 0 2 30 32 66 68 78 80 240 242 288 290 390 392
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: JayPi
db: batch=82, k=14, 28 34 10 160 46 100

STPT(10)	2622961989628650347	0 2 60 62 72 74 84 86 144 146	-2034113353974
TPT(14)	2622962641999583591	0 2 30 32 78 80 138 140 156 158 210 212 288 290	-1381742420730
STPT(10)	2622963211984640849	0 2 42 44 60 62 78 80 120 122	-811757363472
SPT(16)	2622963462046528333	0 6 10 40 46 66 84 90 124 130 148 168 174 204 208 214	-561695475988
STPT(10)	2622963628466769557	0 2 12 14 72 74 132 134 144 146	-395275234764
STPT(10)	2622963972482056961	0 2 6 8 18 20 30 32 36 38	-51259947360
TPT(14)	2622964621104851921	0 2 6 8 60 62 78 80 126 128 210 212 336 338	597362847600
SPT(16)	2622965333197574213	0 8 18 90 120 144 158 168 176 186 200 224 254 326 336 344	1309455569892
SPT(16)	2622965390443225921	0 16 100 108 112 136 142 150 178 186 192 216 220 228 312 328	1366701221600
SPT(16)	2622965636159242589	0 54 80 98 132 182 222 270 272 320 360 410 444 462 488 542	1612417238268
SPT(16)	2622966181447303687	0 52 66 162 184 186 216 262 294 340 370 372 394 490 504 556	2157705299366