Prime p₀= 540534877705611791 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 112 2 88 2 34 2 22 2 (?)
a_n: 0 2 6 8 120 122 210 212 246 248 270 272
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: 272
Found by: phoenicis
db: batch=56, k=12, 4 112 88 34 22

SPT(14)	540534827916964453	0 4 28 30 34 66 88 96 118 150 154 156 180 184	-49788647338
TPT(12)	540534840210807509	0 2 12 14 72 74 198 200 240 242 342 344	-37494804282
SPT(14)	540534841413831569	0 8 48 78 90 218 230 282 294 422 434 464 504 512	-36291780222
SPT(14)	540534851936591021	0 2 6 26 32 48 68 90 110 126 132 152 156 158	-25769020770
SPT(14)	540534855916651643	0 36 56 66 78 98 104 120 126 146 158 168 188 224	-21788960148
SPT(14)	540534877028802611	0 18 20 176 186 230 242 246 258 302 312 468 470 488	-676809180
SPT(14)	540534890262427363	0 30 36 84 88 114 130 144 160 186 190 238 244 274	12556815572
SPT(14)	540534895333104131	0 18 32 38 42 48 62 78 92 98 102 108 122 140	17627492340
SPT(14)	540534909346557761	0 20 38 48 62 80 86 102 108 126 140 150 168 188	31640945970
SPT(14)	540534915757910687	0 20 92 96 132 146 162 164 180 194 230 234 306 326	38052298896
SPT(20)	540534921751163117	0 36 44 50 164 182 192 242 254 324 422 492 504 554 564 582 696 702 710 746	44045551326