Prime p₀= 2205403770994730849 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 100 2 4 2 100 2 28 2 (?)
a_n: 0 2 30 32 132 134 138 140 240 242 270 272
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: 272
Found by: Penguin
db: batch=81, k=12, 2 28 2 100 2 4

SPT(16)	2205401742387442747	0 12 36 40 42 120 130 166 186 222 232 310 312 316 340 352	-2028607288102
TPT(14)	2205401938839434369	0 2 12 14 60 62 102 104 138 140 222 224 348 350	-1832155296480
SPT(16)	2205402611728919279	0 8 48 158 164 204 224 234 284 294 314 354 360 470 510 518	-1159265811570
SPT(16)	2205402617318507143	0 84 106 108 120 148 208 210 214 216 276 304 316 318 340 424	-1153676223706
SPT(16)	2205403237133262239	0 8 14 54 68 80 120 150 152 182 222 234 248 288 294 302	-533861468610
SPT(16)	2205403337679526879	0 30 34 42 70 124 130 192 202 264 270 324 352 360 364 394	-433315203970
TPT(14)	2205404625718665617	0 2 24 26 30 32 42 44 114 116 162 164 234 236	854723934768
TPT(14)	2205404655647310389	0 2 30 32 42 44 60 62 270 272 282 284 312 314	884652579540
SPT(16)	2205404749518976199	0 12 32 50 60 62 68 90 230 252 258 260 270 288 308 320	978524245350
SPT(16)	2205405721803178753	0 34 40 66 94 130 144 150 154 160 174 210 238 264 270 304	1950808447904
STPT(12)	2205405818046711779	0 2 42 44 48 50 72 74 78 80 120 122	2047051980930