Prime p₀= 2886018677910692477 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 88 2 34 2 88 2 22 2 (?)
a_n: 0 2 24 26 114 116 150 152 240 242 264 266
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: 266
Found by: Landjunge
db: batch=82, k=12, 2 22 2 88 2 34

STPT(10)	2886017031104110919	0 2 78 80 120 122 162 164 240 242	-1646806581558
SPT(16)	2886017480653459193	0 18 38 60 116 140 144 156 158 170 174 198 254 276 296 314	-1197257233284
STPT(10)	2886017517378718319	0 2 18 20 60 62 102 104 120 122	-1160531974158
STPT(10)	2886017587345365167	0 2 60 62 102 104 144 146 204 206	-1090565327310
SPT(16)	2886017636385891577	0 16 22 34 42 82 142 150 166 174 234 274 282 294 300 316	-1041524800900
TPT(14)	2886017997191827829	0 2 42 44 78 80 132 134 240 242 288 290 300 302	-680718864648
TPT(14)	2886019188962441471	0 2 30 32 90 92 168 170 186 188 198 200 210 212	511051748994
STPT(10)	2886019398593760641	0 2 36 38 78 80 120 122 156 158	720683068164
STPT(10)	2886019791549041501	0 2 6 8 48 50 90 92 96 98	1113638349024
SPT(16)	2886019868027150147	0 12 42 56 60 62 66 96 116 146 150 152 156 170 200 212	1190116457670
SPT(13)	2886020042903155159	0 30 78 138 180 198 204 210 228 270 330 378 408	1364992462682