Prime p₀= 805596303581051327 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: [SG]FX
db: batch=73, k=10, 2 40 2 28 2

SPT(16)	805594988699020447	0 6 30 70 72 76 142 154 162 174 240 244 246 286 310 316	-1314882030880
SPT(16)	805595012660223347	0 44 56 66 92 156 174 204 212 242 260 324 350 360 372 416	-1290920827980
SPT(16)	805595031427991803	0 66 76 120 124 148 150 168 256 274 276 300 304 348 358 424	-1272153059524
STPT(10)	805595659785617147	0 2 42 44 72 74 102 104 144 146	-643795434180
STPT(10)	805595923296906419	0 2 18 20 30 32 42 44 60 62	-380284144908
SPT(16)	805596231359029043	0 44 48 114 138 146 164 198 206 240 258 266 290 356 360 404	-72222022284
STPT(10)	805596653061294761	0 2 6 8 18 20 30 32 36 38	349480243434
SPT(16)	805597089294407569	0 40 42 82 102 154 168 180 202 214 228 280 300 340 342 382	785713356242
STPT(10)	805597343398859129	0 2 18 20 30 32 42 44 60 62	1039817807802
STPT(10)	805597676898736847	0 2 30 32 72 74 114 116 144 146	1373317685520
STPT(10)	805598294917142801	0 2 6 8 48 50 90 92 96 98	1991336091474