Prime p₀= 3035251679975155367 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: JonS
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	3035249461655603047	0 16 34 36 42 64 114 126 190 202 252 274 280 282 300 316	-2218319552320
SPT(16)	3035250047354518639	0 28 42 48 70 148 150 228 304 382 384 462 484 490 504 532	-1632620636728
SPT(16)	3035250415188760183	0 10 18 48 60 70 88 106 240 258 276 286 298 328 336 346	-1264786395184
STPT(10)	3035250572737674059	0 2 18 20 30 32 42 44 60 62	-1107237481308
SPT(16)	3035250783571861553	0 48 84 174 180 186 188 228 266 306 308 314 320 410 446 494	-896403293814
SPT(16)	3035251417393435589	0 12 48 84 104 108 140 152 180 192 224 228 248 284 320 332	-262581719778
SPT(16)	3035251769369130133	0 30 60 70 106 168 196 238 258 300 328 390 426 436 466 496	89393974766
STPT(10)	3035252803889362751	0 2 36 38 78 80 120 122 156 158	1123914207384
STPT(10)	3035252863440864761	0 2 30 32 60 62 90 92 120 122	1183465709394
SPT(16)	3035253329363385629	0 48 78 90 108 132 140 170 210 240 248 272 290 302 332 380	1649388230262
STPT(10)	3035253395566571999	0 2 78 80 120 122 162 164 240 242	1715591416632