Prime p₀= 3035381984303374997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 88 2 40 2

SPT(16)	3035380971962052743	0 38 56 80 96 108 150 210 266 326 368 380 396 420 438 476	-1012341322254
STPT(10)	3035381011854952301	0 2 30 32 78 80 126 128 156 158	-972448422696
SPT(16)	3035381062890338671	0 42 46 60 70 88 90 112 126 148 150 168 178 192 196 238	-921413036326
TPT(14)	3035381252215860971	0 2 36 38 78 80 120 122 150 152 168 170 216 218	-732087514026
SPT(16)	3035381467518249559	0 12 22 30 40 84 108 124 138 154 178 222 232 240 250 262	-516785125438
STPT(10)	3035381590639141481	0 2 78 80 168 170 258 260 336 338	-393664233516
SPT(16)	3035382053352069121	0 10 16 22 100 112 186 192 226 232 306 318 396 402 408 418	69048694124
SPT(16)	3035382343704500287	0 12 70 102 106 124 154 166 210 222 252 270 274 306 364 376	359401125290
SPT(16)	3035382737207513939	0 32 38 54 72 78 108 122 240 254 284 290 308 324 330 362	752904138942
STPT(10)	3035383137096600527	0 2 12 14 42 44 72 74 84 86	1152793225530
SPT(16)	3035383139422615301	0 20 38 80 92 116 126 176 342 392 402 426 438 480 498 518	1155119240304