Prime p₀= 282007827117643967 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 16 2 22 2 4 2 82 2 (?)
a_n: 0 2 42 44 60 62 84 86 90 92 174 176
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: 176
Found by: WyerByter
db: batch=69, k=12, 40 16 22 4 82

SPT(14)	282007798769230939	0 10 18 42 82 88 138 184 234 240 280 304 312 322	-28348413028
SPT(14)	282007801914501337	0 24 52 82 90 96 114 202 220 226 234 264 292 316	-25203142630
SPT(14)	282007817144963003	0 50 54 84 120 138 150 194 206 224 260 290 294 344	-9972680964
SPT(14)	282007819721967499	0 28 40 58 88 94 108 130 144 150 180 198 210 238	-7395676468
SPT(14)	282007823463145201	0 22 30 42 58 60 102 118 160 162 178 190 198 220	-3654498766
TPT(12)	282007826307983297	0 2 90 92 210 212 222 224 264 266 294 296	-809660670
SPT(14)	282007827300141179	0 24 90 102 108 110 138 194 222 224 230 242 308 332	182497212
SPT(14)	282007836567652381	0 40 88 112 132 148 160 168 180 196 216 240 288 328	9450008414
TPT(12)	282007845226937747	0 2 150 152 162 164 222 224 240 242 282 284	18109293780
SPT(14)	282007845427588801	0 28 42 78 118 136 138 190 192 210 250 286 300 328	18309944834
SPT(14)	282007924560729793	0 6 34 46 88 118 138 166 186 216 258 270 298 304	97443085826