Prime p₀= 782422026649840319 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 58 2 4 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 78 80 138 140 150 152
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: 152
Found by: [SG]steini
db: batch=73, k=12, 2 10 2 58 2 4

STPT(10)	782420860217338337	0 2 30 32 72 74 114 116 144 146	-1166432501982
STPT(10)	782420889943376657	0 2 30 32 42 44 54 56 84 86	-1136706463662
SPT(16)	782420990462529793	0 30 46 64 70 78 88 100 144 156 166 174 180 198 214 244	-1036187310526
SPT(16)	782421016139379371	0 6 20 60 72 96 102 110 132 140 146 170 182 222 236 242	-1010510460948
STPT(10)	782421330711645797	0 2 42 44 72 74 102 104 144 146	-695938194522
STPT(10)	782421964022068421	0 2 6 8 18 20 30 32 36 38	-62627771898
SPT(16)	782422170854370311	0 6 38 48 62 66 116 140 198 222 272 276 290 300 332 338	144204529992
STPT(10)	782422308251849267	0 2 30 32 60 62 90 92 120 122	281602008948
SPT(16)	782422600238403797	0 26 54 66 92 116 164 176 210 222 270 294 320 332 360 386	573588563478
SPT(16)	782422604717528321	0 2 18 32 42 66 122 128 180 186 242 266 276 290 306 308	578067688002
SPT(16)	782422693540703503	0 30 40 54 114 144 150 156 178 184 190 220 280 294 304 334	666890863184