Prime p₀= 302810248646191001 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 106 2 28 2 40 2 16 2 (?)
a_n: 0 2 18 20 126 128 156 158 198 200 216 218
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: 218
Found by: Vit Kliber
db: batch=69, k=12, 16 106 28 40 16

SPT(14)	302810213680477301	0 30 38 68 80 86 116 162 192 198 210 240 248 278	-34965713700
SPT(14)	302810215669251349	0 12 64 72 90 114 132 190 208 232 250 258 310 322	-32976939652
SPT(14)	302810216973534947	0 20 42 62 84 110 132 152 174 200 222 242 264 284	-31672656054
SPT(14)	302810241086449997	0 14 60 92 134 146 162 164 180 192 234 266 312 326	-7559741004
SPT(14)	302810246882092927	0 40 42 82 96 172 186 190 204 280 294 334 336 376	-1764098074
SPT(14)	302810247170199257	0 2 32 54 60 86 146 150 210 236 242 264 294 296	-1475991744
SPT(14)	302810260964560357	0 16 94 130 136 166 172 204 210 240 246 282 360 376	12318369356
SPT(14)	302810263855691633	0 26 38 56 68 114 116 138 140 186 198 216 228 254	15209500632
SPT(14)	302810297338035379	0 28 34 48 58 72 84 88 100 114 124 138 144 172	48691844378
SPT(14)	302810297501988371	0 2 12 18 20 42 78 110 146 168 170 176 186 188	48855797370
SPT(14)	302810320943118139	0 4 12 40 72 82 114 130 162 172 204 232 240 244	72296927138