Prime p₀= 301017058878054509 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 178 2 16 2 10 2 88 2 10 2 (?)
a_n: 0 2 180 182 198 200 210 212 300 302 312 314
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: 314
Found by: BlackGoose05
db: batch=69, k=12, 178 16 10 88 10

SPT(14)	301016956338374561	0 6 20 32 42 50 120 158 228 236 246 258 272 278	-102539679948
SPT(14)	301017008961107849	0 20 42 60 90 98 104 138 144 152 182 200 222 242	-49916946660
SPT(14)	301017034464443411	0 20 50 78 102 140 162 188 210 248 272 300 330 350	-24413611098
SPT(14)	301017040458060313	0 34 58 114 118 136 148 156 168 186 190 246 270 304	-18419994196
SPT(14)	301017044010518359	0 12 30 34 54 60 90 94 124 130 150 154 172 184	-14867536150
TPT(14)	301017049223004131	0 2 6 8 66 68 78 80 120 122 180 182 216 218	-9655050378
SPT(14)	301017118267143907	0 6 12 40 46 72 82 90 100 126 132 160 166 172	59389089398
TPT(12)	301017120623070767	0 2 12 14 42 44 84 86 102 104 240 242	61745016258
SPT(14)	301017150811920031	0 12 30 40 42 66 82 126 142 166 168 178 196 208	91933865522
SPT(14)	301017190647338111	0 30 42 48 90 102 128 162 188 200 242 248 260 290	131769283602
SPT(14)	301017214971146677	0 12 34 106 160 204 220 276 292 336 390 462 484 496	156093092168