Prime p₀= 2002317012481794059 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Dingo
db: batch=80, k=10, 2 16 2 40 2

SPT(16)	2002315018785137557	0 4 30 54 70 72 96 106 120 130 154 156 172 196 222 226	-1993696656502
STPT(10)	2002315049540024081	0 2 36 38 78 80 120 122 156 158	-1962941769978
SPT(16)	2002315147453877887	0 4 30 64 72 96 252 276 310 334 490 514 522 556 582 586	-1865027916172
SPT(16)	2002315228072723307	0 80 156 170 186 234 272 282 344 354 392 440 456 470 546 626	-1784409070752
SPT(16)	2002316565895343741	0 8 50 66 92 102 128 138 140 150 176 186 212 228 270 278	-446586450318
STPT(10)	2002316759799045629	0 2 30 32 60 62 90 92 120 122	-252682748430
SPT(16)	2002317569598025469	0 12 18 38 54 140 188 194 228 234 282 368 384 404 410 422	557116231410
STPT(10)	2002317656265882029	0 2 42 44 90 92 138 140 180 182	643784087970
SPT(16)	2002318262380863589	0 10 18 24 28 30 42 52 120 130 142 144 148 154 162 172	1249899069530
STPT(10)	2002318497586845479	0 2 18 20 30 32 42 44 60 62	1485105051420
STPT(10)	2002318669635766841	0 2 126 128 168 170 210 212 336 338	1657153972782