Prime p₀= 1079689954591395359 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Theadalus
db: batch=76, k=10, 2 16 2 40 2

SPT(16)	1079689311695077169	0 42 98 132 170 210 212 228 242 258 260 300 338 372 428 470	-642896318190
STPT(10)	1079689357436057279	0 2 18 20 30 32 42 44 60 62	-597155338080
SPT(16)	1079689367504305627	0 24 46 70 82 102 132 150 196 214 244 264 276 300 322 346	-587087089732
TPT(14)	1079689551626633579	0 2 78 80 90 92 102 104 162 164 240 242 300 302	-402964761780
STPT(10)	1079689836768501779	0 2 18 20 30 32 42 44 60 62	-117822893580
SPT(16)	1079689896208884421	0 18 82 88 112 156 160 216 262 318 322 366 390 396 460 478	-58382510938
SPT(16)	1079690728010119543	0 10 28 36 96 106 118 120 154 156 168 178 238 246 264 274	773418724184
SPT(16)	1079690761315391527	0 16 46 82 130 162 172 184 252 264 274 306 354 390 420 436	806723996168
STPT(10)	1079690866273627841	0 2 36 38 78 80 120 122 156 158	911682232482
STPT(10)	1079690961249074927	0 2 30 32 42 44 54 56 84 86	1006657679568
SPT(16)	1079691075824788723	0 28 84 88 130 154 168 174 184 190 204 228 270 274 330 358	1121233393364