Prime p₀= 2164317856573636859 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2164316788069156603	0 10 28 78 120 124 126 156 178 208 210 214 256 306 324 334	-1068504480256
STPT(10)	2164316872937986769	0 2 30 32 60 62 90 92 120 122	-983635650090
SPT(16)	2164316916284709961	0 22 36 40 78 102 108 120 178 190 196 220 258 262 276 298	-940288926898
STPT(10)	2164317387322988897	0 2 24 26 42 44 60 62 84 86	-469250647962
TPT(14)	2164317400926724961	0 2 30 32 36 38 78 80 156 158 168 170 240 242	-455646911898
TPT(14)	2164317464033058767	0 2 114 116 144 146 180 182 234 236 240 242 354 356	-392540578092
SPT(16)	2164317972577544843	0 20 24 206 276 300 306 324 416 434 440 464 534 716 720 740	116003907984
SPT(16)	2164318085368675567	0 24 36 42 52 60 84 112 144 172 196 204 214 220 232 256	228795038708
STPT(10)	2164318527186039617	0 2 30 32 42 44 54 56 84 86	670612402758
SPT(16)	2164318710267314303	0 6 14 84 108 110 138 140 204 206 234 236 260 330 338 344	853693677444
SPT(16)	2164319228373628591	0 16 30 48 58 70 90 108 220 238 258 270 280 298 312 328	1371799991732