Prime p₀= 28043116536245231 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 76 2 46 2 22 2 4 2 22 2 (?)
a_n: 0 2 78 80 126 128 150 152 156 158 180 182
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: ChelseaOilman
db: batch=65, k=12, 76 46 22 4 22

SPT(14)	28043059870015471	0 40 52 72 78 88 102 106 120 130 136 156 168 208	-56666229760
TPT(14)	28043071849386401	0 2 150 152 210 212 276 278 288 290 306 308 498 500	-44686858830
TPT(12)	28043095318562711	0 2 48 50 90 92 126 128 168 170 210 212	-21217682520
TPT(12)	28043105045049161	0 2 18 20 138 140 156 158 168 170 216 218	-11491196070
SPT(14)	28043116260528487	0 30 40 52 70 72 94 132 154 156 174 186 196 226	-275716744
SPT(14)	28043116520925227	0 12 30 56 170 192 210 362 380 402 516 542 560 572	-15320004
SPT(14)	28043133198299369	0 20 38 42 72 78 90 122 134 140 170 174 192 212	16662054138
SPT(14)	28043140831191097	0 6 10 16 42 66 72 244 250 274 300 306 310 316	24294945866
SPT(14)	28043141096805763	0 24 34 54 60 90 118 180 208 238 244 264 274 298	24560560532
SPT(14)	28043141751683347	0 4 16 24 34 66 70 90 94 126 136 144 156 160	25215438116
SPT(14)	28043171468732801	0 6 8 12 68 80 98 120 138 150 206 210 212 218	54932487570