Prime p₀= 2338442240719993979 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: sabres1616
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2338439686338525181	0 10 46 52 58 66 70 112 156 198 202 210 216 222 258 268	-2554381468798
STPT(10)	2338440784522579949	0 2 42 44 60 62 78 80 120 122	-1456197414030
SPT(16)	2338440861105302089	0 22 28 52 58 64 90 100 132 142 168 174 180 204 210 232	-1379614691890
STPT(10)	2338440862057399859	0 2 42 44 90 92 138 140 180 182	-1378662594120
SPT(16)	2338441462260161957	0 2 102 150 152 174 180 212 252 284 290 312 314 362 462 464	-778459832022
STPT(10)	2338442023361366981	0 2 36 38 78 80 120 122 156 158	-217358626998
TPT(14)	2338442271686353247	0 2 30 32 120 122 174 176 204 206 252 254 354 356	30966359268
SPT(18)	2338442344385657077	0 52 72 96 106 154 184 192 250 306 364 372 402 450 460 484 504 556	103665663098
STPT(10)	2338442470567332011	0 2 36 38 78 80 120 122 156 158	229847338032
SPT(16)	2338442482965943951	0 6 10 28 42 48 76 78 100 102 130 136 150 168 172 178	242245949972
SPT(16)	2338442731189636627	0 6 24 30 34 90 112 142 174 204 226 282 286 292 310 316	490469642648