Prime p₀= 2353605556166363669 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Xenon
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2353603703945211457	0 10 34 54 172 180 190 192 232 234 244 252 370 390 414 424	-1852221152212
TPT(14)	2353604058434033891	0 2 36 38 66 68 78 80 120 122 126 128 168 170	-1497732329778
STPT(10)	2353604227140133997	0 2 30 32 42 44 54 56 84 86	-1329026229672
STPT(10)	2353604976856044227	0 2 30 32 42 44 54 56 84 86	-579310319442
SPT(16)	2353605120184265461	0 16 52 70 108 112 138 178 180 220 246 250 288 306 342 358	-435982098208
STPT(10)	2353605464374158821	0 2 30 32 78 80 126 128 156 158	-91792204848
SPT(16)	2353605776348040983	0 18 26 30 80 116 150 198 266 314 348 384 434 438 446 464	220181677314
STPT(10)	2353605851288438309	0 2 12 14 90 92 168 170 180 182	295122074640
STPT(10)	2353605893206935509	0 2 18 20 30 32 42 44 60 62	337040571840
SPT(16)	2353606014664801033	0 18 46 48 54 90 144 148 186 190 244 280 286 288 316 334	458498437364
SPT(16)	2353606221303121637	0 12 32 72 74 90 102 110 144 152 164 180 182 222 242 254	665136757968