Prime p₀= 2524707623690276117 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 52 2 4 2 52 2 28 2 (?)
a_n: 0 2 30 32 84 86 90 92 144 146 174 176
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: 176
Found by: [SG-FC] hl
db: batch=82, k=12, 2 28 2 52 2 4

STPT(10)	2524706800276820867	0 2 30 32 120 122 210 212 240 242	-823413455250
STPT(10)	2524707006557148617	0 2 12 14 42 44 72 74 84 86	-617133127500
SPT(16)	2524707194652956671	0 18 22 30 40 42 78 120 130 172 208 210 220 228 232 250	-429037319446
SPT(16)	2524707432434820959	0 20 32 60 62 78 120 128 132 140 182 198 200 228 240 260	-191255455158
SPT(16)	2524707500478570829	0 22 70 100 118 120 132 142 168 178 190 192 210 240 288 310	-123211705288
STPT(10)	2524707602393193401	0 2 30 32 60 62 90 92 120 122	-21297082716
SPT(16)	2524707668968284973	0 28 40 54 66 90 130 144 160 174 214 238 250 264 276 304	45278008856
STPT(10)	2524707830622739379	0 2 48 50 60 62 72 74 120 122	206932463262
STPT(10)	2524707911982829421	0 2 30 32 60 62 90 92 120 122	288292553304
SPT(16)	2524708281889782097	0 54 70 106 114 120 126 174 196 244 250 256 264 300 316 370	658199505980
STPT(10)	2524708554359765027	0 2 42 44 72 74 102 104 144 146	930669488910