Prime p₀= 41658586895273279 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 178 2 16 2 22 2 94 2 28 2 (?)
a_n: 0 2 180 182 198 200 222 224 318 320 348 350
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: 350
Found by: pelpolaris
db: batch=65, k=12, 178 16 22 94 28

SPT(14)	41658558141498461	0 18 30 78 80 98 120 128 150 168 170 218 230 248	-28753774818
SPT(16)	41658561953200403	0 18 24 38 44 56 60 96 98 134 138 150 156 170 176 194	-24942072876
TPT(12)	41658566543694209	0 2 30 32 42 44 72 74 90 92 132 134	-20351579070
SPT(14)	41658568065735833	0 14 38 44 66 78 98 156 176 188 210 216 240 254	-18829537446
SPT(14)	41658575264666993	0 44 50 78 80 90 114 140 164 174 176 204 210 254	-11630606286
SPT(14)	41658579890502703	0 10 16 30 58 100 118 126 144 186 214 228 234 244	-7004770576
SPT(14)	41658589951237309	0 18 22 30 42 58 84 88 114 130 142 150 154 172	3055964030
SPT(16)	41658596917677923	0 14 30 56 80 84 86 134 150 198 200 204 228 254 270 284	10022404644
SPT(14)	41658602492495509	0 24 58 70 78 108 112 120 124 154 162 174 208 232	15597222230
SPT(16)	41658625451660509	0 4 10 12 34 70 78 84 88 94 102 138 160 162 168 172	38556387230
SPT(14)	41658627786015349	0 22 42 58 90 102 168 244 310 322 354 370 390 412	40890742070