Prime p₀= 2320657770360196637 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 22 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 84 86 102 104 144 146
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: 146
Found by: Landjunge
db: batch=81, k=12, 2 40 2 16 2 22

STPT(10)	2320657063334911289	0 2 18 20 30 32 42 44 60 62	-707025285348
SPT(16)	2320657239828636383	0 26 36 54 56 68 120 140 204 224 276 288 290 308 318 344	-530531560254
SPT(16)	2320657248690518189	0 2 12 18 44 60 78 134 138 194 212 228 254 260 270 272	-521669678448
SPT(16)	2320657276165421371	0 12 16 28 36 66 72 78 100 106 112 142 150 162 166 178	-494194775266
SPT(16)	2320657571266566149	0 8 18 30 44 78 80 98 234 252 254 288 302 314 324 332	-199093630488
SPT(16)	2320657579378227499	0 4 64 100 124 130 142 168 244 270 282 288 312 348 408 412	-190981969138
SPT(16)	2320657852666031773	0 10 48 58 76 90 126 136 198 208 244 258 276 286 324 334	82305835136
STPT(10)	2320658133331722101	0 2 30 32 78 80 126 128 156 158	362971525464
STPT(10)	2320658729884978001	0 2 36 38 78 80 120 122 156 158	959524781364
STPT(10)	2320659223762902707	0 2 24 26 42 44 60 62 84 86	1453402706070
SPT(16)	2320659314585007911	0 8 42 50 78 110 132 138 212 218 240 272 300 308 342 350	1544224811274