Prime p₀= 3022407047803194347 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 10 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 72 74 102 104 132 134
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: 134
Found by: JayPi
db: batch=82, k=12, 2 28 2 28 2 10

SPT(16)	3022406391602617891	0 6 40 46 82 132 160 196 222 258 286 336 372 378 412 418	-656200576456
SPT(16)	3022406438818092371	0 38 48 62 78 90 122 128 132 138 170 182 198 212 222 260	-608985101976
SPT(16)	3022406493332522567	0 20 50 56 66 90 116 150 200 234 260 284 294 300 330 350	-554470671780
STPT(10)	3022406868861046097	0 2 54 56 72 74 90 92 144 146	-178942148250
SPT(16)	3022406989223159387	0 26 62 90 92 110 234 264 332 362 486 504 506 534 570 596	-58580034960
STPT(10)	3022407021216211841	0 2 36 38 78 80 120 122 156 158	-26586982506
SPT(16)	3022407622620268319	0 48 68 110 134 170 180 198 230 248 258 294 318 360 380 428	574817073972
TPT(14)	3022407625264209797	0 2 30 32 60 62 180 182 222 224 234 236 264 266	577461015450
STPT(10)	3022407818184508487	0 2 24 26 42 44 60 62 84 86	770381314140
STPT(10)	3022408206993238499	0 2 18 20 60 62 102 104 120 122	1159190044152
STPT(10)	3022408349504577791	0 2 6 8 18 20 30 32 36 38	1301701383444