Prime p₀= 2338713478318901867 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)	2338711199849822657	0 14 66 74 80 90 96 144 146 194 200 210 216 224 276 290	-2278469079210
SPT(16)	2338711617824380763	0 24 26 60 66 68 86 96 128 138 156 158 164 198 200 224	-1860494521104
TPT(14)	2338712539866463547	0 2 12 14 24 26 42 44 174 176 204 206 222 224	-938452438320
SPT(16)	2338712629765803119	0 50 54 72 90 114 152 162 182 192 230 254 272 290 294 344	-848553098748
SPT(16)	2338713215033003261	0 8 48 60 68 98 126 140 186 200 228 258 266 278 318 326	-263285898606
SPT(16)	2338713250384737509	0 2 30 38 114 132 140 182 240 282 290 308 384 392 420 422	-227934164358
STPT(10)	2338713808713821489	0 2 18 20 30 32 42 44 60 62	330394919622
STPT(10)	2338713825781534181	0 2 36 38 78 80 120 122 156 158	347462632314
SPT(16)	2338713859107942521	0 6 20 38 56 86 98 116 132 150 162 192 210 228 242 248	380789040654
TPT(14)	2338713959071742501	0 2 30 32 96 98 186 188 210 212 240 242 306 308	480752840634
SPT(16)	2338714269225554123	0 8 26 44 54 66 68 80 114 126 128 140 150 168 186 194	790906652256