Prime p₀= 1551808450553584427 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: crashtech
db: batch=78, k=10, 2 10 2 28 2

SPT(20)	1551806463931061629	0 4 12 42 64 100 102 114 124 142 210 228 238 250 252 288 310 340 348 352	-1986622522798
STPT(10)	1551806983315875149	0 2 42 44 90 92 138 140 180 182	-1467237709278
STPT(10)	1551807407057808881	0 2 30 32 78 80 126 128 156 158	-1043495775546
SPT(16)	1551807968474046839	0 20 62 78 114 128 152 182 210 240 264 278 314 330 372 392	-482079537588
STPT(10)	1551808004815116017	0 2 30 32 72 74 114 116 144 146	-445738468410
SPT(18)	1551808398351664121	0 26 30 56 60 126 128 158 168 170 180 210 212 278 282 308 312 338	-52201920306
TPT(14)	1551808545542706329	0 2 48 50 90 92 102 104 300 302 312 314 378 380	94989121902
SPT(16)	1551808550502513679	0 12 52 60 88 132 148 172 210 234 250 294 322 330 370 382	99948929252
SPT(16)	1551808584839265593	0 8 18 54 98 110 150 164 240 254 294 306 350 386 396 404	134285681166
SPT(16)	1551808610903650741	0 12 90 118 126 136 166 186 202 222 252 262 270 298 376 388	160350066314
SPT(16)	1551808661444125883	0 18 38 56 110 128 164 198 206 240 276 294 348 366 386 404	210890541456