Prime p₀= 796396200067539077 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 4 2 82 2 124 2 52 2 148 2 (?)
a_n: 0 2 24 26 30 32 114 116 240 242 294 296 444 446
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: 446
Found by: [SG]FX
db: batch=73, k=14, 22 4 82 124 52 148

STPT(10)	796394852071895777	0 2 30 32 42 44 54 56 84 86	-1347995643300
SPT(16)	796395222572336561	0 12 20 72 98 132 140 158 210 228 236 270 296 348 356 368	-977495202516
SPT(16)	796395236036690041	0 10 42 52 78 96 136 162 166 192 232 250 276 286 318 328	-964030849036
TPT(14)	796395707950716359	0 2 12 14 48 50 90 92 168 170 192 194 222 224	-492116822718
SPT(16)	796395897033424967	0 2 30 32 44 56 96 110 186 200 240 252 264 266 294 296	-303034114110
SPT(16)	796396115947791461	0 50 62 68 78 90 92 152 156 216 218 230 240 246 258 308	-84119747616
STPT(10)	796396350893783609	0 2 12 14 90 92 168 170 180 182	150826244532
TPT(14)	796396352026918337	0 2 60 62 102 104 114 116 204 206 210 212 294 296	151959379260
STPT(10)	796396563520013369	0 2 12 14 90 92 168 170 180 182	363452474292
SPT(16)	796397027119509239	0 12 30 32 50 84 92 114 158 180 188 222 240 242 260 272	827051970162
STPT(10)	796397057415310157	0 2 72 74 102 104 132 134 204 206	857347771080