Prime p₀= 741618575427090341 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Theadalus
db: batch=73, k=10, 2 34 2 40 2

SPT(16)	741617736486401323	0 6 16 70 76 84 106 118 156 168 190 198 204 258 268 274	-838940689018
STPT(10)	741617916315947129	0 2 18 20 30 32 42 44 60 62	-659111143212
SPT(16)	741617931926846041	0 22 48 70 72 156 168 202 246 280 292 376 378 400 426 448	-643500244300
STPT(10)	741618224865793277	0 2 30 32 60 62 90 92 120 122	-350561297064
SPT(16)	741618331845203327	0 12 32 54 60 72 92 102 194 204 224 236 242 264 284 296	-243581887014
STPT(10)	741618516921906971	0 2 6 8 48 50 90 92 96 98	-58505183370
STPT(10)	741618849048121391	0 2 6 8 48 50 90 92 96 98	273621031050
SPT(20)	741618930583861933	0 30 64 78 84 100 106 108 120 148 186 214 226 228 234 250 256 270 304 334	355156771592
SPT(18)	741619414436301889	0 24 88 102 112 118 124 130 178 204 252 258 264 270 280 294 358 382	839009211548
STPT(10)	741619853217734501	0 2 6 8 48 50 90 92 96 98	1277790644160
SPT(16)	741620443778088661	0 28 90 106 108 120 132 150 178 196 208 220 222 238 300 328	1868350998320