Prime p₀= 2733539960499014969 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 78 80 108 110 120 122
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: [SG-2W]Kurzer
db: batch=82, k=12, 2 10 2 28 2 34

SPT(16)	2733538282707123293	0 20 48 56 78 86 98 114 140 156 168 176 198 206 234 254	-1677791891676
STPT(10)	2733538449864752951	0 2 36 38 78 80 120 122 156 158	-1510634262018
SPT(16)	2733538479574573409	0 8 18 44 68 72 98 102 110 114 140 144 168 194 204 212	-1480924441560
SPT(16)	2733539126404225813	0 18 70 84 88 100 114 130 144 160 174 186 190 204 256 274	-834094789156
STPT(10)	2733539154793796021	0 2 30 32 78 80 126 128 156 158	-805705218948
SPT(18)	2733539397618139459	0 12 24 40 70 82 144 172 180 214 222 250 312 324 354 370 382 394	-562880875510
SPT(16)	2733540305257237657	0 10 12 30 60 156 186 256 276 346 376 472 502 520 522 532	344758222688
SPT(16)	2733540395386657123	0 18 36 66 88 100 108 186 190 268 276 288 310 340 358 376	434887642154
STPT(10)	2733541016616368051	0 2 30 32 60 62 90 92 120 122	1056117353082
STPT(10)	2733541228599538457	0 2 60 62 102 104 144 146 204 206	1268100523488
STPT(10)	2733541551620293229	0 2 12 14 30 32 48 50 60 62	1591121278260