Prime p₀= 586404155760287129 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 34 2 70 2 28 2 10 2 (?)
a_n: 0 2 72 74 108 110 180 182 210 212 222 224
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: 224
Found by: arkiss
db: batch=71, k=12, 70 34 70 28 10

SPT(14)	586404127428868351	0 22 58 66 72 78 102 106 130 136 142 150 186 208	-28331418778
SPT(14)	586404129935697247	0 12 16 52 54 96 102 124 130 172 174 210 214 226	-25824589882
TPT(12)	586404143652419591	0 2 30 32 48 50 168 170 210 212 246 248	-12107867538
SPT(14)	586404144849420721	0 10 48 88 96 106 120 136 150 160 168 208 246 256	-10910866408
TPT(12)	586404145628710439	0 2 30 32 42 44 90 92 258 260 288 290	-10131576690
SPT(14)	586404151795769759	0 48 50 60 72 78 90 170 182 188 200 210 212 260	-3964517370
TPT(12)	586404162275841059	0 2 12 14 42 44 132 134 192 194 252 254	6515553930
SPT(14)	586404162872312599	0 12 64 78 150 154 192 220 258 262 334 348 400 412	7112025470
SPT(14)	586404176194633073	0 18 36 50 54 60 78 116 134 140 144 158 176 194	20434345944
SPT(16)	586404199496643641	0 12 38 42 68 78 128 138 182 192 242 252 278 282 308 320	43736356512
SPT(14)	586404203833521323	0 8 20 78 96 126 134 150 158 188 206 264 276 284	48073234194