Prime p₀= 216006044920542089 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 208 2 76 2 52 2 34 2 22 2 (?)
a_n: 0 2 210 212 288 290 342 344 378 380 402 404
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: 404
Found by: desktop64
db: batch=69, k=12, 208 76 52 34 22

SPT(14)	216005982340217347	0 10 12 24 46 84 126 130 172 210 232 244 246 256	-62580324742
SPT(14)	216006004672859677	0 34 70 84 100 150 154 180 184 234 250 264 300 334	-40247682412
SPT(14)	216006006722470301	0 32 56 78 86 138 162 176 200 252 260 282 306 338	-38198071788
SPT(14)	216006014089880611	0 10 22 90 102 112 130 150 168 178 190 258 270 280	-30830661478
SPT(14)	216006027191660267	0 24 50 56 66 90 104 162 176 200 210 216 242 266	-17728881822
SPT(14)	216006033648410347	0 52 66 70 82 102 112 150 160 180 192 196 210 262	-11272131742
SPT(14)	216006087961708969	0 4 42 64 72 78 84 88 94 100 108 130 168 172	43041166880
SPT(14)	216006089133174161	0 30 42 96 108 126 152 276 302 320 332 386 398 428	44212632072
TPT(12)	216006100048723601	0 2 36 38 66 68 108 110 126 128 138 140	55128181512
TPT(14)	216006107591502047	0 2 54 56 180 182 204 206 240 242 282 284 360 362	62670959958
SPT(14)	216006147609362707	0 24 42 64 72 84 100 114 130 142 150 172 190 214	102688820618