Prime p₀= 2829406678922104439 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 88 2 40 2 34 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 168 170 210 212 300 302
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: 302
Found by: [SG-FC] hl
db: batch=82, k=12, 2 88 2 40 2 34

STPT(10)	2829404835582431549	0 2 42 44 60 62 78 80 120 122	-1843339672890
STPT(10)	2829405728077693307	0 2 90 92 132 134 174 176 264 266	-950844411132
SPT(16)	2829405825532649329	0 30 40 42 64 114 124 148 204 228 238 288 310 312 322 352	-853389455110
STPT(10)	2829406110434498867	0 2 30 32 42 44 54 56 84 86	-568487605572
STPT(10)	2829406164785436737	0 2 54 56 72 74 90 92 144 146	-514136667702
SPT(16)	2829406254337280789	0 14 80 84 90 114 122 162 182 222 230 254 260 264 330 344	-424584823650
STPT(10)	2829406907742116057	0 2 42 44 72 74 102 104 144 146	228820011618
SPT(16)	2829408421887662899	0 4 30 34 42 64 78 84 118 124 138 160 168 172 198 202	1742965558460
SPT(16)	2829408578027876147	0 20 30 42 62 66 72 84 122 134 140 144 164 176 186 206	1899105771708
TPT(14)	2829408602917990967	0 2 12 14 30 32 54 56 144 146 150 152 222 224	1923995886528
SPT(16)	2829408710300577791	0 8 36 42 68 72 110 138 140 168 206 210 236 242 270 278	2031378473352