Prime p₀= 14013190345686611 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 40 2 28 2 76 2 28 2 (?)
a_n: 0 2 6 8 48 50 78 80 156 158 186 188
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: 188
Found by: stoneageman
db: batch=62, k=12, 4 40 28 76 28

SPT(14)	14013146714128673	0 24 30 56 68 74 108 116 150 156 168 194 200 224	-43631557938
SPT(14)	14013147235947019	0 30 34 54 58 90 118 234 262 294 298 318 322 352	-43109739592
TPT(12)	14013150958509011	0 2 36 38 78 80 150 152 168 170 240 242	-39387177600
TPT(12)	14013157028540489	0 2 42 44 78 80 108 110 162 164 198 200	-33317146122
STPT(10)	14013175021150307	0 2 30 32 72 74 114 116 144 146	-15324536304
SPT(14)	14013189972919309	0 18 42 82 84 118 142 240 264 298 300 340 364 382	-372767302
SPT(14)	14013194187381271	0 22 36 42 82 88 100 108 120 126 166 172 186 208	3841694660
SPT(14)	14013205476132571	0 18 22 48 66 70 112 126 168 172 190 216 220 238	15130445960
SPT(14)	14013206832482567	0 2 24 30 54 72 86 120 134 152 176 182 204 206	16486795956
SPT(14)	14013214284051247	0 12 72 90 174 180 184 192 196 202 286 304 364 376	23938364636
SPT(14)	14013214779179443	0 6 34 66 84 94 136 174 216 226 244 276 304 310	24433492832