Prime p₀= 144294506049833549 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 118 2 16 2 58 2 22 2 (?)
a_n: 0 2 60 62 180 182 198 200 258 260 282 284
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: 284
Found by: Tomáš Brada
db: batch=67, k=12, 58 118 16 58 22

SPT(14)	144294433556534617	0 6 30 54 70 76 102 154 180 186 202 226 250 256	-72493298932
TPT(12)	144294468015799391	0 2 36 38 78 80 180 182 276 278 318 320	-38034034158
SPT(16)	144294485568226759	0 24 52 54 84 90 132 148 264 280 322 328 358 360 388 412	-20481606790
SPT(14)	144294491555080183	0 6 10 28 30 48 58 78 88 106 108 126 130 136	-14494753366
SPT(14)	144294492482202563	0 8 14 44 116 120 134 180 194 198 270 300 306 314	-13567630986
SPT(18)	144294497967474683	0 26 50 56 66 80 114 138 164 180 206 230 264 278 288 294 318 344	-8082358866
SPT(14)	144294506073310469	0 8 50 108 140 162 174 248 260 282 314 372 414 422	23476920
SPT(14)	144294540421971449	0 2 12 20 48 180 188 222 230 362 390 398 408 410	34372137900
SPT(14)	144294557582815259	0 78 98 102 114 140 144 158 162 188 200 204 224 302	51532981710
SPT(14)	144294559409996851	0 10 18 30 42 48 52 66 70 76 88 100 108 118	53360163302
TPT(12)	144294564499203929	0 2 30 32 42 44 108 110 228 230 252 254	58449370380