Prime p₀= 2428463791002173537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Penguin
db: batch=82, k=10, 2 28 2 10 2

SPT(18)	2428462669950284777	0 32 36 56 60 62 90 140 146 216 222 272 300 302 306 326 330 362	-1121051888760
STPT(10)	2428463083267614221	0 2 6 8 48 50 90 92 96 98	-707734559316
TPT(14)	2428463088059445209	0 2 90 92 108 110 120 122 168 170 210 212 300 302	-702942728328
SPT(16)	2428463451725196761	0 12 18 32 36 66 78 102 116 140 152 182 186 200 206 218	-339276976776
STPT(10)	2428463542434996887	0 2 60 62 72 74 84 86 144 146	-248567176650
STPT(10)	2428463624747939417	0 2 60 62 72 74 84 86 144 146	-166254234120
SPT(16)	2428463794280793673	0 24 46 70 78 94 96 108 166 178 180 196 204 228 250 274	3278620136
STPT(10)	2428463832421247219	0 2 18 20 30 32 42 44 60 62	41419073682
SPT(16)	2428463870124179731	0 48 70 76 78 88 112 130 228 246 270 280 282 288 310 358	79122006194
STPT(10)	2428463967752358659	0 2 12 14 30 32 48 50 60 62	176750185122
TPT(14)	2428464110609457197	0 2 90 92 102 104 114 116 312 314 342 344 354 356	319607283660