Prime p₀= 800344174518395537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: jozef j
db: batch=73, k=10, 2 28 2 28 2

STPT(10)	800343266018948591	0 2 30 32 60 62 90 92 120 122	-908499446946
TPT(14)	800343295991411297	0 2 30 32 54 56 72 74 114 116 144 146 180 182	-878526984240
SPT(16)	800343651763908209	0 42 48 68 138 158 182 188 192 198 222 242 312 332 338 380	-522754487328
SPT(16)	800343916035793919	0 12 14 44 62 84 128 152 210 234 278 300 318 348 350 362	-258482601618
STPT(10)	800344026323480459	0 2 18 20 30 32 42 44 60 62	-148194915078
SPT(13)	800344123814520557	0 30 42 60 132 174 192 210 252 324 342 354 384	-50703874980
STPT(10)	800344326526574651	0 2 6 8 48 50 90 92 96 98	152008179114
SPT(16)	800344917312287251	0 46 48 58 66 112 130 136 192 198 216 262 270 280 282 328	742793891714
SPT(16)	800344954362429451	0 40 52 82 96 100 106 148 210 252 258 262 276 306 318 358	779844033914
STPT(10)	800344967273617037	0 2 30 32 42 44 54 56 84 86	792755221500
SPT(16)	800345188746604073	0 44 48 138 150 158 216 224 240 248 306 314 326 416 420 464	1014228208536