Prime p₀= 11167343223887687 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 28 2 46 2 10 2 28 2 (?)
a_n: 0 2 12 14 42 44 90 92 102 104 132 134
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: Matt J.
db: batch=62, k=12, 10 28 46 10 28

SPT(14)	11167294752419371	0 30 40 70 82 102 118 180 196 216 228 258 268 298	-48471468316
TPT(12)	11167301932391621	0 2 90 92 120 122 156 158 186 188 258 260	-41291496066
SPT(14)	11167307219413127	0 6 24 30 60 66 74 156 164 170 200 206 224 230	-36004474560
TPT(12)	11167312200172967	0 2 144 146 150 152 210 212 222 224 234 236	-31023714720
SPT(14)	11167316115019451	0 36 78 80 116 122 126 182 186 192 228 230 272 308	-27108868236
SPT(14)	11167329824203639	0 28 48 58 60 88 102 118 132 160 162 172 192 220	-13399684048
SPT(14)	11167351510513813	0 28 30 54 66 88 90 94 96 118 130 154 156 184	8286626126
SPT(14)	11167356011073113	0 8 14 24 26 38 48 56 66 78 80 90 96 104	12787185426
SPT(14)	11167368825064951	0 16 28 30 58 100 118 168 186 228 256 258 270 286	25601177264
SPT(14)	11167371387404753	0 26 36 44 50 68 104 120 156 174 180 188 198 224	28163517066
SPT(14)	11167375961835649	0 12 24 54 78 90 100 132 142 154 178 208 220 232	32737947962