Prime p₀= 585913750530398747 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 10 2 4 2 52 2 64 2 (?)
a_n: 0 2 72 74 84 86 90 92 144 146 210 212
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: Ralfy
db: batch=71, k=12, 70 10 4 52 64

SPT(14)	585913683289272137	0 2 42 66 72 86 90 116 120 134 140 164 204 206	-67241126610
SPT(14)	585913719444137261	0 2 72 132 156 210 270 272 332 386 410 470 540 542	-31086261486
SPT(14)	585913739267179789	0 22 42 48 70 72 88 102 118 120 142 148 168 190	-11263218958
SPT(14)	585913740816590647	0 24 42 54 70 82 90 94 102 114 130 142 160 184	-9713808100
SPT(14)	585913748938100411	0 6 38 56 66 96 108 110 122 152 162 180 212 218	-1592298336
SPT(14)	585913749184443373	0 30 64 84 130 156 166 168 178 204 250 270 304 334	-1345955374
TPT(12)	585913759004106809	0 2 12 14 48 50 90 92 132 134 150 152	8473708062
SPT(14)	585913893848754473	0 36 38 60 78 90 98 126 134 146 164 186 188 224	143318355726
SPT(14)	585913895980723637	0 20 42 54 92 104 110 204 210 222 260 272 294 314	145450324890
SPT(14)	585913896180200183	0 24 26 50 60 84 96 98 110 134 144 168 170 194	145649801436
SPT(14)	585913901034282571	0 58 60 70 102 196 220 318 342 436 468 478 480 538	150503883824