Prime p₀= 59658846287892767 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 16 2 82 2 46 2 40 2 (?)
a_n: 0 2 42 44 60 62 144 146 192 194 234 236
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: 236
Found by: Alez
db: batch=67, k=12, 40 16 82 46 40

SPT(14)	59658827925642677	0 2 14 26 30 32 44 72 84 86 90 102 114 116	-18362250090
SPT(14)	59658838322104457	0 42 50 56 66 86 116 126 156 176 186 192 200 242	-7965788310
STPT(10)	59658838526599307	0 2 30 32 72 74 114 116 144 146	-7761293460
SPT(14)	59658839652715013	0 44 86 96 110 120 146 168 194 204 218 228 270 314	-6635177754
SPT(14)	59658842493131611	0 66 72 100 112 120 126 142 148 156 168 196 202 268	-3794761156
SPT(14)	59658845216490479	0 50 78 92 98 128 164 198 234 264 270 284 312 362	-1071402288
STPT(10)	59658865157725019	0 2 18 20 30 32 42 44 60 62	18869832252
SPT(14)	59658876345994811	0 48 56 72 78 90 92 96 98 110 116 132 140 188	30058102044
SPT(14)	59658876503428483	0 10 30 88 114 168 178 186 196 250 276 334 354 364	30215535716
TPT(12)	59658895737914579	0 2 42 44 72 74 150 152 210 212 252 254	49450021812
SPT(14)	59658898995653339	0 44 54 68 78 90 132 140 182 194 204 218 228 272	52707760572