Prime p₀= 14934131505022727 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 22 2 4 2 28 2 40 2 (?)
a_n: 0 2 30 32 54 56 60 62 90 92 132 134
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: 134
Found by: Egon olsen
db: batch=62, k=12, 28 22 4 28 40

SPT(14)	14934079508732521	0 18 30 40 46 88 112 156 180 222 228 238 250 268	-51996290206
SPT(14)	14934091566461371	0 16 58 76 100 150 162 196 208 258 282 300 342 358	-39938561356
SPT(14)	14934102432961711	0 42 46 48 52 70 82 96 108 126 130 132 136 178	-29072061016
SPT(14)	14934102991007813	0 18 20 74 90 110 156 158 204 224 240 294 296 314	-28514014914
SPT(14)	14934103405233373	0 30 36 40 54 58 70 114 126 130 144 148 154 184	-28099789354
SPT(14)	14934104209068901	0 10 16 30 36 72 82 96 106 142 148 162 168 178	-27295953826
TPT(12)	14934133107643961	0 2 30 32 120 122 180 182 198 200 288 290	1602621234
SPT(14)	14934135982242769	0 12 42 64 70 78 84 88 94 102 108 130 160 172	4477220042
SPT(14)	14934139150842521	0 2 8 26 32 42 60 68 86 96 102 120 126 128	7645819794
SPT(14)	14934139803949169	0 14 38 42 44 48 68 84 104 108 110 114 138 152	8298926442
SPT(14)	14934140032655897	0 26 42 60 114 120 144 152 176 182 236 254 270 296	8527633170