Prime p₀= 210769135560608279 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 28 2 40 2 106 2 22 2 (?)
a_n: 0 2 18 20 48 50 90 92 198 200 222 224
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 224
Found by: Aleksander Parkitny
db: batch=69, k=12, 16 28 40 106 22

TPT(12)	210769028066681219	0 2 18 20 78 80 102 104 120 122 132 134	-107493927060
SPT(14)	210769061648295193	0 18 30 40 238 250 280 294 324 336 534 544 556 574	-73912313086
SPT(14)	210769069019937041	0 12 78 80 150 162 168 302 308 320 390 392 458 470	-66540671238
SPT(14)	210769113912187849	0 30 40 78 90 100 148 174 222 232 244 282 292 322	-21648420430
SPT(14)	210769121789706049	0 34 70 78 82 108 114 118 124 150 154 162 198 232	-13770902230
SPT(14)	210769123778825173	0 18 34 48 90 94 130 198 234 238 280 294 310 328	-11781783106
SPT(14)	210769149729011089	0 10 30 52 54 60 72 82 94 100 102 124 144 154	14168402810
SPT(14)	210769155981801701	0 20 60 86 116 126 140 162 176 186 216 242 282 302	20421193422
SPT(14)	210769156743122717	0 24 50 80 84 116 120 146 150 182 186 216 242 266	21182514438
TPT(12)	210769158696174077	0 2 24 26 84 86 114 116 150 152 180 182	23135565798
SPT(14)	210769172363465383	0 10 16 54 96 108 126 148 166 178 220 258 264 274	36802857104