Prime p₀= 2256134380655594711 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 34 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 96 98 126 128 156 158
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: 158
Found by: raddoc
db: batch=81, k=12, 2 28 2 28 2 34

STPT(10)	2256132310722302861	0 2 36 38 78 80 120 122 156 158	-2069933291850
STPT(10)	2256132501538668629	0 2 30 32 60 62 90 92 120 122	-1879116926082
TPT(14)	2256132631222262699	0 2 12 14 60 62 132 134 408 410 420 422 462 464	-1749433332012
SPT(16)	2256133174085707841	0 18 60 78 86 108 116 158 168 210 218 240 248 266 308 326	-1206569886870
TPT(14)	2256133545546653957	0 2 30 32 60 62 84 86 114 116 120 122 132 134	-835108940754
STPT(10)	2256134135761531601	0 2 36 38 78 80 120 122 156 158	-244894063110
TPT(14)	2256134380655594711	0 2 30 32 60 62 96 98 126 128 156 158 198 200	0
STPT(10)	2256134975705253791	0 2 36 38 78 80 120 122 156 158	595049659080
STPT(10)	2256135118288335017	0 2 30 32 42 44 54 56 84 86	737632740306
SPT(16)	2256135393835411657	0 84 100 106 114 130 144 162 184 202 216 232 240 246 262 346	1013179816946
TPT(14)	2256135450149909099	0 2 48 50 90 92 168 170 198 200 258 260 288 290	1069494314388