Prime p₀= 2059896177677890337 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: Landjunge
db: batch=80, k=10, 2 28 2 28 2

SPT(16)	2059895791318398421	0 12 198 208 222 238 252 292 336 376 390 406 420 430 616 628	-386359491916
SPT(16)	2059895795944514699	0 8 12 20 72 78 92 108 152 168 182 188 240 248 252 260	-381733375638
STPT(10)	2059895969929280771	0 2 36 38 78 80 120 122 156 158	-207748609566
STPT(10)	2059896012091860491	0 2 6 8 48 50 90 92 96 98	-165586029846
TPT(14)	2059896138382935857	0 2 12 14 30 32 42 44 90 92 102 104 132 134	-39294954480
SPT(16)	2059896166443448549	0 24 34 40 42 54 72 84 100 112 130 142 144 150 160 184	-11234441788
SPT(16)	2059896259271982871	0 70 82 90 130 136 172 180 208 216 252 258 298 306 318 388	81594092534
SPT(16)	2059896387762901859	0 42 44 54 80 114 152 164 210 222 260 294 320 330 332 374	210085011522
SPT(16)	2059896421613357549	0 14 60 62 84 110 122 144 230 252 264 290 312 314 360 374	243935467212
SPT(16)	2059896771841055083	0 18 70 88 126 138 150 178 228 256 268 280 318 336 388 406	594163164746
SPT(16)	2059897174832702509	0 64 78 90 100 132 154 168 184 198 220 252 262 274 288 352	997154812172