Prime p₀= 2664614528960296349 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: JonS
db: batch=82, k=10, 2 46 2 40 2

SPT(18)	2664613284149115743	0 36 44 78 104 120 140 156 170 174 188 204 224 240 266 300 308 344	-1244811180606
STPT(10)	2664613455682390907	0 2 30 32 60 62 90 92 120 122	-1073277905442
SPT(16)	2664613751885074657	0 10 42 52 70 76 90 132 184 226 240 246 264 274 306 316	-777075221692
TPT(14)	2664613881158672321	0 2 30 32 48 50 60 62 180 182 216 218 378 380	-647801624028
SPT(16)	2664613950351127169	0 2 20 30 50 54 68 90 92 114 128 132 152 162 180 182	-578609169180
SPT(16)	2664613983018084233	0 36 50 96 156 170 224 234 266 276 330 344 404 450 464 500	-545942212116
STPT(10)	2664614731450288157	0 2 90 92 102 104 114 116 204 206	202489991808
STPT(10)	2664614791325787269	0 2 12 14 30 32 48 50 60 62	262365490920
SPT(16)	2664614837540035693	0 34 40 54 60 70 84 148 186 250 264 274 280 294 300 334	308579739344
SPT(16)	2664615114317798627	0 14 20 32 60 62 66 96 110 140 144 146 174 186 192 206	585357502278
STPT(10)	2664615855422960837	0 2 30 32 72 74 114 116 144 146	1326462664488