Prime p₀= 274920740676288599 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 10 2 10 2 154 2 22 2 (?)
a_n: 0 2 48 50 60 62 72 74 228 230 252 254
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: 254
Found by: davidBAM
db: batch=69, k=12, 46 10 10 154 22

SPT(14)	274920680513107883	0 30 38 90 104 108 114 134 140 144 158 210 218 248	-60163180716
TPT(12)	274920685055662487	0 2 30 32 90 92 270 272 384 386 414 416	-55620626112
SPT(14)	274920702213947239	0 4 24 28 94 108 120 142 154 168 234 238 258 262	-38462341360
SPT(14)	274920702355575907	0 60 66 70 94 124 130 186 192 222 246 250 256 316	-38320712692
TPT(12)	274920715818773327	0 2 90 92 114 116 144 146 210 212 252 254	-24857515272
SPT(14)	274920739287075373	0 18 24 30 90 108 118 126 136 154 214 220 226 244	-1389213226
SPT(14)	274920748047124427	0 54 92 110 120 122 132 212 222 224 234 252 290 344	7370835828
SPT(14)	274920750848651861	0 2 32 56 132 192 218 240 266 326 402 426 456 458	10172363262
SPT(14)	274920779274300739	0 4 28 30 40 48 90 178 220 228 238 240 264 268	38598012140
SPT(14)	274920779953019411	0 2 30 56 72 96 98 180 182 206 222 248 276 278	39276730812
SPT(14)	274920780031578677	0 24 42 44 54 72 90 104 122 140 150 152 170 194	39355290078