Prime p₀= 1728606104281630097 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: CoolAtchOk
db: batch=79, k=12, 2 40 2 16 2 22

SPT(16)	1728604399293466501	0 6 48 60 66 72 78 132 256 310 316 322 328 340 382 388	-1704988163596
STPT(10)	1728605515388440859	0 2 18 20 30 32 42 44 60 62	-588893189238
SPT(16)	1728605521275840091	0 16 30 36 42 48 52 66 82 96 100 106 112 118 132 148	-583005790006
TPT(14)	1728605814396067949	0 2 12 14 42 44 180 182 192 194 222 224 240 242	-289885562148
STPT(10)	1728605886693641897	0 2 30 32 42 44 54 56 84 86	-217587988200
SPT(16)	1728606071089781237	0 56 84 102 144 180 186 200 246 260 266 302 344 362 390 446	-33191848860
STPT(10)	1728606178054698491	0 2 6 8 48 50 90 92 96 98	73773068394
TPT(14)	1728606454494909329	0 2 30 32 42 44 60 62 132 134 138 140 198 200	350213279232
SPT(16)	1728606462892154311	0 58 78 90 112 130 156 162 196 202 228 246 268 280 300 358	358610524214
SPT(18)	1728606673149638719	0 12 28 30 34 72 78 82 90 142 150 154 160 198 202 204 220 232	568868008622
SPT(16)	1728606829661441231	0 12 38 42 50 78 108 120 140 152 182 210 218 222 248 260	725379811134