Prime p₀= 2682137715226620359 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 34 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 78 80 102 104 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=12, 2 16 2 22 2 34

SPT(16)	2682135203528772737	0 20 54 56 96 182 230 314 342 426 474 560 600 602 636 656	-2511697847622
SPT(16)	2682135502328727589	0 22 58 112 118 124 154 184 228 258 288 294 300 354 390 412	-2212897892770
TPT(14)	2682135943334939027	0 2 24 26 54 56 102 104 210 212 264 266 294 296	-1771891681332
STPT(10)	2682136134658854191	0 2 36 38 108 110 180 182 216 218	-1580567766168
SPT(16)	2682136492933848037	0 10 22 40 42 66 70 106 156 192 196 220 222 240 252 262	-1222292772322
STPT(10)	2682137291159543681	0 2 36 38 78 80 120 122 156 158	-424067076678
SPT(16)	2682137755127580493	0 16 46 60 66 78 108 126 130 148 178 190 196 210 240 256	39900960134
TPT(14)	2682137803920607061	0 2 108 110 150 152 210 212 360 362 366 368 390 392	88693986702
SPT(16)	2682137983551985939	0 18 60 70 78 148 178 192 208 222 252 322 330 340 382 400	268325365580
STPT(10)	2682138152788243559	0 2 12 14 90 92 168 170 180 182	437561623200
STPT(10)	2682138817811474687	0 2 12 14 42 44 72 74 84 86	1102584854328