Prime p₀= 2909257981874223389 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 4 2 22 2 4 2 10 2 (?)
a_n: 0 2 12 14 18 20 42 44 48 50 60 62
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: 62
Found by: Landjunge
db: batch=82, k=12, 2 10 2 4 2 22

TPT(14)	2909256158325628829	0 2 42 44 48 50 168 170 222 224 252 254 378 380	-1823548594560
SPT(16)	2909256779657981161	0 12 16 28 58 76 96 118 120 142 162 180 210 222 226 238	-1202216242228
SPT(16)	2909256825527196167	0 20 56 102 122 150 174 206 210 242 266 294 314 360 396 416	-1156347027222
SPT(16)	2909257154860540417	0 30 66 76 94 114 120 150 160 190 196 216 234 244 280 310	-827013682972
TPT(16)	2909257519593054359	0 2 30 32 72 74 78 80 120 122 168 170 270 272 312 314	-462281169030
SPT(16)	2909257773732379913	0 50 54 74 128 134 138 140 174 176 180 186 240 260 264 314	-208141843476
STPT(10)	2909258180876692217	0 2 24 26 42 44 60 62 84 86	199002468828
SPT(16)	2909258258255530229	0 20 32 54 74 102 110 132 200 222 230 258 278 300 312 332	276381306840
STPT(10)	2909258304072942707	0 2 54 56 72 74 90 92 144 146	322198719318
TPT(14)	2909258684865723779	0 2 78 80 120 122 162 164 240 242 330 332 408 410	702991500390
STPT(10)	2909258684865723779	0 2 78 80 120 122 162 164 240 242	702991500390