Prime p₀= 2301802375872799799 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)	2301801240265921507	0 12 40 42 46 60 102 142 180 220 262 276 280 282 310 322	-1135606878292
STPT(10)	2301801396906042041	0 2 6 8 48 50 90 92 96 98	-978966757758
SPT(16)	2301801505947599641	0 96 112 156 166 208 226 238 270 282 300 342 352 396 412 508	-869925200158
SPT(16)	2301801690471846361	0 12 18 36 52 78 88 100 108 120 130 156 172 190 196 208	-685400953438
STPT(10)	2301801992213830859	0 2 18 20 30 32 42 44 60 62	-383658968940
STPT(10)	2301802158859214897	0 2 54 56 72 74 90 92 144 146	-217013584902
STPT(10)	2301802586014439537	0 2 30 32 42 44 54 56 84 86	210141639738
SPT(16)	2301802673836185523	0 66 126 138 178 210 216 226 258 268 274 306 346 358 418 484	297963385724
STPT(10)	2301803164176298631	0 2 36 38 78 80 120 122 156 158	788303498832
SPT(16)	2301803672696004689	0 44 62 84 108 120 134 158 174 198 212 224 248 270 288 332	1296823204890
SPT(16)	2301804306559710053	0 30 78 90 150 168 170 210 254 294 296 314 374 386 434 464	1930686910254