Prime p₀= 144278042948985761 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 22 2 16 2 118 2 10 2 (?)
a_n: 0 2 6 8 30 32 48 50 168 170 180 182
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: 182
Found by: Tomáš Brada
db: batch=67, k=12, 4 22 16 118 10

SPT(14)	144277966009636079	0 12 20 48 54 60 62 90 92 98 104 132 140 152	-76939349682
SPT(16)	144277975216337437	0 30 70 72 94 154 160 192 244 276 282 342 364 366 406 436	-67732648324
SPT(14)	144277988647234963	0 16 78 208 210 226 258 268 300 316 318 448 510 526	-54301750798
SPT(14)	144278019492623329	0 22 34 42 60 108 112 210 214 262 280 288 300 322	-23456362432
SPT(14)	144278020647796207	0 42 64 120 130 162 172 264 274 306 316 372 394 436	-22301189554
SPT(14)	144278042586136297	0 16 24 66 76 82 112 114 144 150 160 202 210 226	-362849464
SPT(14)	144278043372214261	0 16 52 70 76 130 142 186 198 252 258 276 312 328	423228500
SPT(14)	144278064533287381	0 12 72 100 120 132 156 166 190 202 222 250 310 322	21584301620
SPT(14)	144278069248405567	0 4 30 70 72 112 132 322 342 382 384 424 450 454	26299419806
SPT(14)	144278070103647989	0 20 60 90 98 138 152 168 182 222 230 260 300 320	27154662228
SPT(14)	144278096559867043	0 28 34 70 88 130 160 174 204 246 264 300 306 334	53610881282