Prime p₀= 24317222632877357 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 22 2 106 2 40 2 4 2 (?)
a_n: 0 2 30 32 54 56 162 164 204 206 210 212
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: 212
Found by: arkiss
db: batch=65, k=12, 28 22 106 40 4

SPT(14)	24317172824827781	0 6 20 26 42 72 90 92 110 140 156 162 176 182	-49808049576
SPT(16)	24317182542817877	0 12 56 84 104 116 122 146 150 174 180 192 212 240 284 296	-40090059480
SPT(14)	24317183083136539	0 10 70 72 78 88 142 150 204 214 220 222 282 292	-39549740818
SPT(16)	24317205261947707	0 6 16 22 72 90 120 162 250 292 322 340 390 396 406 412	-17370929650
SPT(14)	24317205753670441	0 40 108 148 156 166 192 196 222 232 240 280 348 388	-16879206916
SPT(14)	24317220670874701	0 10 48 72 76 78 120 148 190 192 196 220 258 268	-1962002656
SPT(14)	24317225921650787	0 2 12 26 66 104 132 164 192 230 270 284 294 296	3288773430
SPT(14)	24317243306379589	0 24 40 52 90 108 118 144 154 172 210 222 238 262	20673502232
SPT(14)	24317245655169377	0 14 44 72 102 110 114 140 144 152 182 210 240 254	23022292020
SPT(14)	24317247378552533	0 14 18 26 38 54 80 84 110 126 138 146 150 164	24745675176
SPT(14)	24317264955797029	0 60 82 100 108 138 154 168 184 214 222 240 262 322	42322919672