Prime p₀= 1021236573230156159 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
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: 242
Found by: Spectrum
db: batch=76, k=10, 2 40 2 76 2

SPT(16)	1021236027820711061	0 6 20 32 50 78 86 108 140 162 170 198 216 228 242 248	-545409445098
SPT(16)	1021236189130680737	0 2 54 86 102 104 140 146 180 186 222 224 240 272 324 326	-384099475422
SPT(16)	1021236223083215809	0 4 60 64 70 90 108 118 120 130 148 168 174 178 234 238	-350146940350
STPT(10)	1021236290374251617	0 2 30 32 42 44 54 56 84 86	-282855904542
SPT(16)	1021236504698450023	0 34 36 54 88 90 124 144 190 210 244 246 280 298 300 334	-68531706136
TPT(14)	1021236520731752261	0 2 60 62 138 140 180 182 228 230 336 338 408 410	-52498403898
STPT(10)	1021236598294604357	0 2 30 32 42 44 54 56 84 86	25064448198
STPT(10)	1021236631479057179	0 2 18 20 30 32 42 44 60 62	58248901020
SPT(16)	1021236664844287523	0 66 98 120 164 188 206 230 234 258 276 300 344 366 398 464	91614131364
SPT(16)	1021236838606812103	0 40 48 58 118 124 138 154 180 196 210 216 276 286 294 334	265376655944
STPT(10)	1021236958762532957	0 2 30 32 42 44 54 56 84 86	385532376798