Prime p₀= 1377293270918264639 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: Skivelitis2
db: batch=77, k=12, 2 16 2 22 2 34

SPT(16)	1377291506889998417	0 6 44 50 54 56 116 156 200 240 300 302 306 312 350 356	-1764028266222
STPT(12)	1377291923765840897	0 2 24 26 84 86 90 92 150 152 174 176	-1347152423742
SPT(16)	1377292352942448623	0 18 30 38 98 128 150 158 168 176 198 228 288 296 308 326	-917975816016
SPT(16)	1377292782267127699	0 10 30 64 72 84 120 138 154 172 208 220 228 262 282 292	-488651136940
STPT(10)	1377292870534723169	0 2 18 20 30 32 42 44 60 62	-400383541470
SPT(16)	1377292874523731401	0 10 78 106 120 132 136 162 166 192 196 208 222 250 318 328	-396394533238
SPT(16)	1377293944767800897	0 6 56 60 66 74 120 144 182 206 252 260 266 270 320 326	673849536258
SPT(16)	1377294171949113359	0 12 32 50 74 102 110 134 138 162 170 198 222 240 260 272	901030848720
STPT(10)	1377294279488862347	0 2 30 32 42 44 54 56 84 86	1008570597708
SPT(16)	1377294728121187409	0 24 80 92 98 108 122 150 182 210 224 234 240 252 308 332	1457202922770
TPT(14)	1377294753056339099	0 2 12 14 48 50 90 92 162 164 168 170 318 320	1482138074460