Prime p₀= 3005082294707272457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	3005080888851242021	0 2 6 8 18 20 30 32 36 38	-1405856030436
STPT(10)	3005081110568263157	0 2 30 32 72 74 114 116 144 146	-1184139009300
TPT(14)	3005081295708831569	0 2 72 74 102 104 168 170 192 194 270 272 390 392	-998998440888
SPT(16)	3005081718158568079	0 28 52 58 70 72 78 114 118 154 160 162 174 180 204 232	-576548704378
STPT(10)	3005081868363032987	0 2 12 14 42 44 72 74 84 86	-426344239470
STPT(10)	3005082026395104737	0 2 42 44 72 74 102 104 144 146	-268312167720
SPT(16)	3005082411364827239	0 8 20 50 62 102 134 168 194 228 260 300 312 342 354 362	116657554782
TPT(14)	3005082927839204129	0 2 12 14 30 32 78 80 150 152 210 212 222 224	633131931672
SPT(16)	3005083017626973449	0 62 84 144 152 168 192 194 258 260 284 300 308 368 390 452	722919700992
SPT(16)	3005083287249820481	0 6 12 26 66 68 90 96 152 158 180 182 222 236 242 248	992542548024
SPT(16)	3005083805518794227	0 12 54 90 104 116 144 152 174 182 210 222 236 272 314 326	1510811521770