Prime p₀= 4305692310684466589 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Chooka
db: batch=85, k=10, 2 16 2 10 2

SPT(16)	4305691588403061377	0 2 30 42 92 140 294 296 300 302 456 504 554 566 594 596	-722281405212
TPT(14)	4305691872310982687	0 2 120 122 162 164 240 242 294 296 342 344 354 356	-438373483902
SPT(16)	4305691873894344797	0 12 26 90 122 152 156 180 182 206 210 240 272 336 350 362	-436790121792
STPT(10)	4305691958618342189	0 2 18 20 30 32 42 44 60 62	-352066124400
TPT(14)	4305692221881111767	0 2 12 14 24 26 30 32 54 56 102 104 144 146	-88803354822
STPT(10)	4305692290612463459	0 2 42 44 60 62 78 80 120 122	-20072003130
STPT(10)	4305692334590128397	0 2 24 26 42 44 60 62 84 86	23905661808
SPT(16)	4305692348566694681	0 18 30 32 116 122 138 140 168 170 186 192 276 278 290 308	37882228092
SPT(16)	4305692357231648923	0 4 100 150 154 180 204 210 250 256 280 306 310 360 456 460	46547182334
SPT(16)	4305692464880722631	0 18 20 30 56 62 78 86 132 140 156 162 188 198 200 218	154196256042
SPT(16)	4305692585044048909	0 64 84 88 118 124 132 172 240 280 288 294 324 328 348 412	274359582320