Prime p₀= 231709702373366639 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 100 2 16 2 10 2 34 2 40 2 (?)
a_n: 0 2 102 104 120 122 132 134 168 170 210 212
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: 212
Found by: Megacruncher
db: batch=69, k=12, 100 16 10 34 40

SPT(14)	231709636119912721	0 30 72 88 96 106 130 138 162 172 180 196 238 268	-66253453918
STPT(10)	231709641548524829	0 2 18 20 30 32 42 44 60 62	-60824841810
SPT(14)	231709664453569331	0 32 80 86 96 102 162 200 260 266 276 282 330 362	-37919797308
TPT(12)	231709664478162107	0 2 12 14 150 152 210 212 354 356 402 404	-37895204532
SPT(14)	231709678640484431	0 50 60 62 66 80 126 182 228 242 246 248 258 308	-23732882208
SPT(14)	231709689909455683	0 6 18 28 70 78 144 160 226 234 276 286 298 304	-12463910956
SPT(14)	231709704688590743	0 20 24 30 38 80 84 110 114 156 164 170 174 194	2315224104
SPT(14)	231709728840608471	0 8 36 48 56 116 146 162 192 252 260 272 300 308	26467241832
SPT(14)	231709730589617179	0 4 18 22 60 64 70 72 78 82 120 124 138 142	28216250540
SPT(14)	231709746200800781	0 2 18 30 36 86 102 116 132 182 188 200 216 218	43827434142
SPT(14)	231709781654019601	0 6 28 30 72 78 100 168 190 196 238 240 262 268	79280652962