Prime p₀= 1025503527224763281 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: HenkM
db: batch=76, k=10, 2 28 2 46 2

SPT(16)	1025502315908648873	0 36 66 78 114 176 204 240 344 380 408 470 506 518 548 584	-1211316114408
TPT(14)	1025502337853679221	0 2 6 8 30 32 48 50 90 92 156 158 180 182	-1189371084060
SPT(16)	1025502865597814707	0 6 12 22 52 54 64 120 136 192 202 204 234 244 250 256	-661626948574
SPT(16)	1025502935577687871	0 22 42 58 76 96 162 166 192 196 262 282 300 316 336 358	-591647075410
SPT(16)	1025502970638628997	0 6 56 62 86 102 132 144 182 194 224 240 264 270 320 326	-556586134284
STPT(10)	1025503355013161909	0 2 42 44 150 152 258 260 300 302	-172211601372
SPT(16)	1025503873892151229	0 72 78 148 184 198 228 274 318 364 394 408 444 514 520 592	346667387948
SPT(16)	1025503934480912287	0 22 52 60 64 66 90 172 174 256 280 282 286 294 324 346	407256149006
TPT(14)	1025503997390138507	0 2 180 182 222 224 234 236 372 374 390 392 402 404	470165375226
STPT(10)	1025504284226267969	0 2 12 14 30 32 48 50 60 62	757001504688
STPT(10)	1025504286804914459	0 2 12 14 90 92 168 170 180 182	759580151178