Prime p₀= 2309069386080261197 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2309068697543559521	0 6 36 48 92 120 140 146 162 168 188 216 260 272 302 308	-688536701676
SPT(16)	2309068784883253559	0 14 20 104 138 140 278 288 290 300 438 440 474 558 564 578	-601197007638
SPT(16)	2309068835370523333	0 16 28 46 100 108 118 120 184 186 196 204 258 276 288 304	-550709737864
STPT(10)	2309069026917150917	0 2 42 44 72 74 102 104 144 146	-359163110280
STPT(10)	2309069085364085921	0 2 30 32 60 62 90 92 120 122	-300716175276
TPT(14)	2309069104938369197	0 2 12 14 30 32 54 56 222 224 270 272 282 284	-281141892000
TPT(14)	2309069398375529597	0 2 12 14 90 92 150 152 174 176 192 194 210 212	12295268400
SPT(16)	2309069729425156921	0 40 58 72 136 178 192 208 270 286 300 342 406 420 438 478	343344895724
STPT(12)	2309069967834397487	0 2 12 14 24 26 30 32 42 44 54 56	581754136290
SPT(16)	2309070072457762961	0 78 116 120 128 156 158 182 246 270 272 300 308 312 350 428	686377501764
STPT(10)	2309070718514266307	0 2 42 44 72 74 102 104 144 146	1332434005110