Prime p₀= 4506159868689683297 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: JonS
db: batch=85, k=10, 2 28 2 28 2

SPT(16)	4506158353410835151	0 42 66 90 116 182 216 218 240 242 276 342 368 392 416 458	-1515278848146
SPT(16)	4506158427268094791	0 10 22 78 90 108 138 162 208 232 262 280 292 348 360 370	-1441421588506
SPT(16)	4506158494831538533	0 28 66 70 88 108 154 184 240 270 316 336 354 358 396 424	-1373858144764
STPT(10)	4506158591245158047	0 2 54 56 72 74 90 92 144 146	-1277444525250
SPT(16)	4506158601626911589	0 42 62 104 132 150 164 180 332 348 362 380 408 450 470 512	-1267062771708
STPT(10)	4506159120977530139	0 2 12 14 30 32 48 50 60 62	-747712153158
STPT(10)	4506160178609767157	0 2 30 32 42 44 54 56 84 86	309920083860
SPT(16)	4506161177673956249	0 14 60 102 138 150 158 170 192 204 212 224 260 302 348 362	1308984272952
SPT(16)	4506162198573638041	0 22 36 48 160 162 178 190 258 270 286 288 400 412 426 448	2329883954744
SPT(16)	4506162336491999627	0 6 12 30 42 54 72 80 96 104 122 134 146 164 170 176	2467802316330
STPT(12)	4506162345277079057	0 2 30 32 42 44 72 74 84 86 114 116	2476587395760