Prime p₀= 1931570715682273007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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=80, k=10, 2 22 2 16 2

SPT(16)	1931569041825469597	0 22 24 46 70 130 136 204 262 330 336 396 420 442 444 466	-1673856803410
SPT(16)	1931569253435574341	0 8 26 36 50 92 96 116 162 182 186 228 242 252 270 278	-1462246698666
SPT(16)	1931569887661267079	0 18 20 42 84 90 114 122 150 158 182 188 230 252 254 272	-828021005928
SPT(16)	1931570208319374137	0 6 20 30 32 54 60 62 84 86 92 114 116 126 140 146	-507362898870
STPT(10)	1931570253841484687	0 2 54 56 72 74 90 92 144 146	-461840788320
SPT(16)	1931570525428091293	0 6 64 76 96 120 154 166 168 180 214 238 258 270 328 334	-190254181714
SPT(16)	1931570781153856607	0 20 24 62 72 92 114 122 174 182 204 224 234 272 276 296	65471583600
STPT(10)	1931570979054397799	0 2 18 20 30 32 42 44 60 62	263372124792
SPT(16)	1931571165231871253	0 44 56 60 90 104 114 126 128 140 150 164 194 198 210 254	449549598246
STPT(10)	1931571307760818481	0 2 6 8 18 20 30 32 36 38	592078545474
SPT(16)	1931571375550958287	0 40 60 70 82 102 124 126 130 132 154 174 186 196 216 256	659868685280