Prime p₀= 1957725220976017037 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: Ben
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	1957722298208448767	0 30 36 90 116 176 182 206 210 234 240 300 326 380 386 416	-2922767568270
SPT(16)	1957722994693731691	0 10 40 66 112 160 178 202 216 240 258 306 352 378 408 418	-2226282285346
SPT(18)	1957723467771986867	0 36 84 120 122 144 170 200 234 302 336 366 392 414 416 452 500 536	-1753204030170
SPT(16)	1957723899295395859	0 4 40 42 70 88 112 124 138 150 174 192 220 222 258 262	-1321680621178
STPT(10)	1957724291567927591	0 2 36 38 78 80 120 122 156 158	-929408089446
STPT(10)	1957725108976758131	0 2 6 8 48 50 90 92 96 98	-111999258906
SPT(16)	1957725415862670043	0 16 46 66 76 78 118 144 160 186 226 228 238 258 288 304	194886653006
TPT(14)	1957725519571950311	0 2 30 32 66 68 96 98 120 122 198 200 210 212	298595933274
SPT(16)	1957725544019903893	0 6 34 54 70 120 144 154 180 190 214 264 280 300 328 334	323043886856
SPT(16)	1957726267657221169	0 42 70 118 132 138 192 220 240 268 322 328 342 390 418 460	1046681204132
STPT(10)	1957726802567121869	0 2 48 50 90 92 132 134 180 182	1581591104832