Prime p₀= 189214164720941021 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 28 2 34 2 82 2 28 2 (?)
a_n: 0 2 30 32 60 62 96 98 180 182 210 212
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: 212
Found by: Megacruncher
db: batch=69, k=12, 28 28 34 82 28

SPT(16)	189214126001376403	0 30 46 48 76 90 96 100 144 148 154 168 196 198 214 244	-38719564618
SPT(14)	189214129659201001	0 12 66 76 90 106 132 166 192 208 222 232 286 298	-35061740020
SPT(14)	189214136883952333	0 6 28 54 58 76 160 264 348 366 370 396 418 424	-27836988688
SPT(14)	189214141420318117	0 10 36 46 76 82 102 154 174 180 210 220 246 256	-23300622904
SPT(14)	189214142514436177	0 10 40 64 76 90 124 162 196 210 222 246 276 286	-22206504844
SPT(14)	189214148947786891	0 22 40 48 66 88 90 208 210 232 250 258 276 298	-15773154130
SPT(16)	189214170556971739	0 4 18 22 34 54 90 138 154 202 238 258 270 274 288 292	5836030718
SPT(14)	189214182990515479	0 24 52 54 84 130 172 222 264 310 340 342 370 394	18269574458
TPT(12)	189214193927264969	0 2 72 74 138 140 210 212 222 224 282 284	29206323948
SPT(14)	189214227353827211	0 20 32 48 96 116 228 260 372 392 440 456 468 488	62632886190
SPT(14)	189214253057225603	0 18 36 56 120 128 138 158 168 176 240 260 278 296	88336284582