Prime p₀= 12611547344361857 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 88 2 58 2 52 2 4 2 22 2 (?)
a_n: 0 2 90 92 150 152 204 206 210 212 234 236
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: emoga
db: batch=62, k=12, 88 58 52 4 22

SPT(14)	12611509841089657	0 4 54 72 102 106 112 114 120 124 154 172 222 226	-37503272200
SPT(14)	12611515774252613	0 30 56 74 116 140 144 176 180 204 246 264 290 320	-31570109244
SPT(14)	12611520308318249	0 8 62 108 120 138 140 162 164 182 194 240 294 302	-27036043608
TPT(12)	12611530524086927	0 2 12 14 30 32 42 44 144 146 222 224	-16820274930
SPT(14)	12611541215756999	0 8 18 20 50 62 84 98 120 132 162 164 174 182	-6128604858
SPT(14)	12611546456332543	0 4 24 40 48 96 150 154 208 256 264 280 300 304	-888029314
TPT(12)	12611548184515139	0 2 12 14 60 62 72 74 168 170 228 230	840153282
SPT(14)	12611552103019367	0 24 32 42 44 80 110 114 144 180 182 192 200 224	4758657510
SPT(14)	12611561103039719	0 8 20 38 42 60 78 104 122 140 144 162 174 182	13758677862
SPT(14)	12611561315870317	0 6 34 76 136 154 184 216 246 264 324 366 394 400	13971508460
SPT(14)	12611569032818491	0 10 36 52 58 88 102 106 120 150 156 172 198 208	21688456634