Prime p₀= 2753112271337079077 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 4 2 22 2 4 2 22 2 (?)
a_n: 0 2 24 26 30 32 54 56 60 62 84 86
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: 86
Found by: Inexcez
db: batch=82, k=12, 2 22 2 4 2 22

SPT(16)	2753110678203167509	0 24 30 54 82 142 192 204 238 250 300 360 388 412 418 442	-1593133911568
STPT(10)	2753111293312017887	0 2 60 62 72 74 84 86 144 146	-978025061190
TPT(14)	2753111304812655341	0 2 18 20 36 38 120 122 126 128 198 200 216 218	-966524423736
TPT(16)	2753111708261895521	0 2 48 50 78 80 168 170 270 272 288 290 300 302 366 368	-563075183556
SPT(16)	2753112076722792409	0 10 18 30 52 70 88 100 102 114 132 150 172 184 192 202	-194614286668
SPT(16)	2753112205906818599	0 50 60 84 110 132 134 152 162 180 182 204 230 254 264 314	-65430260478
STPT(10)	2753112506491681349	0 2 30 32 120 122 210 212 240 242	235154602272
STPT(10)	2753112591182950691	0 2 30 32 60 62 90 92 120 122	319845871614
SPT(16)	2753113298732831401	0 30 66 100 132 142 160 208 210 258 276 286 318 352 388 418	1027395752324
STPT(10)	2753113340963028077	0 2 60 62 72 74 84 86 144 146	1069625949000
TPT(14)	2753113363273691309	0 2 78 80 90 92 132 134 138 140 150 152 168 170	1091936612232