Prime p₀= 2259370415566225187 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 88 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 132 134 144 146 174 176
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: 176
Found by: eclipse99
db: batch=81, k=12, 2 28 2 10 2 88

SPT(16)	2259369138485710939	0 34 42 78 88 90 112 120 142 150 172 174 184 220 228 262	-1277080514248
STPT(12)	2259369570589812449	0 2 18 20 30 32 138 140 150 152 168 170	-844976412738
SPT(16)	2259369797681457763	0 4 16 30 84 100 126 156 178 208 234 250 304 318 330 334	-617884767424
STPT(10)	2259369812327320037	0 2 42 44 72 74 102 104 144 146	-603238905150
SPT(16)	2259369942279554359	0 40 58 78 84 138 150 168 190 208 220 274 280 300 318 358	-473286670828
SPT(16)	2259370351006704041	0 8 56 60 68 96 108 126 152 170 182 210 218 222 270 278	-64559521146
STPT(10)	2259370549089415649	0 2 18 20 30 32 42 44 60 62	133523190462
SPT(16)	2259370853608909567	0 10 22 30 42 52 106 112 114 120 174 184 196 204 216 226	438042684380
SPT(16)	2259370907802311993	0 44 54 74 84 96 110 140 144 174 188 200 210 230 240 284	492236086806
TPT(14)	2259371051951876771	0 2 60 62 126 128 138 140 228 230 240 242 270 272	636385651584
STPT(10)	2259371064540389879	0 2 48 50 60 62 72 74 120 122	648974164692