Prime p₀= 1427296676170704509 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Steve Dodd
db: batch=78, k=10, 2 16 2 10 2

STPT(12)	1427295302925271067	0 2 72 74 114 116 120 122 162 164 234 236	-1373245433442
SPT(16)	1427295695002718053	0 148 184 234 244 274 276 300 304 328 330 360 370 420 456 604	-981167986456
STPT(10)	1427296453556279387	0 2 42 44 132 134 222 224 264 266	-222614425122
SPT(16)	1427296489517450179	0 28 42 84 90 130 148 160 162 174 192 232 238 280 294 322	-186653254330
STPT(10)	1427296575925880081	0 2 30 32 120 122 210 212 240 242	-100244824428
STPT(10)	1427296625400923267	0 2 42 44 72 74 102 104 144 146	-50769781242
SPT(16)	1427296973271123967	0 4 24 64 106 150 174 204 262 292 316 360 402 442 462 466	297100419458
TPT(14)	1427297017230437699	0 2 78 80 90 92 162 164 288 290 300 302 342 344	341059733190
SPT(16)	1427297034392578463	0 8 20 24 30 38 56 74 90 108 126 134 140 144 156 164	358221873954
STPT(10)	1427297077172085011	0 2 6 8 48 50 90 92 96 98	401001380502
SPT(16)	1427297227244065757	0 24 60 164 170 222 284 306 380 402 464 516 522 626 662 686	551073361248