Prime p₀= 23274571098308819 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 52 2 64 2 88 2 22 2 (?)
a_n: 0 2 48 50 102 104 168 170 258 260 282 284
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: 284
Found by: ChelseaOilman
db: batch=65, k=12, 46 52 64 88 22

SPT(14)	23274536430286651	0 6 30 42 46 60 66 76 82 96 100 112 136 142	-34668022168
SPT(14)	23274541644562433	0 30 54 56 68 78 80 84 86 96 108 110 134 164	-29453746386
SPT(14)	23274544538296097	0 14 26 60 74 92 120 176 204 222 236 270 282 296	-26560012722
SPT(14)	23274545852154731	0 38 56 66 80 98 116 120 138 156 170 180 198 236	-25246154088
SPT(14)	23274548409559891	0 10 12 30 36 48 70 78 100 112 118 136 138 148	-22688748928
SPT(14)	23274564021940571	0 6 8 90 96 110 116 120 126 140 146 228 230 236	-7076368248
SPT(16)	23274574561195603	0 6 16 46 76 88 90 94 210 214 216 228 258 288 298 304	3462886784
SPT(14)	23274604729434269	0 8 30 38 44 78 84 158 164 198 204 212 234 242	33631125450
TPT(12)	23274609167269487	0 2 24 26 54 56 84 86 102 104 150 152	38068960668
SPT(14)	23274621775738951	0 16 28 78 100 148 168 190 210 258 280 330 342 358	50677430132
TPT(12)	23274654835234169	0 2 78 80 90 92 120 122 132 134 180 182	83736925350