Prime p₀= 1690111706403618791 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 10 2 10 2 124 2 (?)
a_n: 0 2 126 128 138 140 150 152 276 278
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: 278
Found by: Paul
db: batch=79, k=10, 2 124 2 10 2

SPT(16)	1690109947136866613	0 14 18 30 44 56 68 86 138 156 168 180 194 206 210 224	-1759266752178
SPT(16)	1690109970339061289	0 12 30 50 90 128 170 188 204 222 264 302 342 362 380 392	-1736064557502
TPT(14)	1690110376690635437	0 2 24 26 150 152 180 182 192 194 234 236 270 272	-1329712983354
STPT(10)	1690110914046919451	0 2 6 8 48 50 90 92 96 98	-792356699340
STPT(10)	1690111035686959997	0 2 42 44 72 74 102 104 144 146	-670716658794
TPT(14)	1690111093653655877	0 2 42 44 72 74 114 116 150 152 204 206 294 296	-612749962914
STPT(10)	1690112037263834279	0 2 18 20 30 32 42 44 60 62	330860215488
STPT(10)	1690112398125002021	0 2 30 32 78 80 126 128 156 158	691721383230
SPT(16)	1690112586324324859	0 12 78 88 102 112 130 132 160 162 180 190 204 214 280 292	879920706068
STPT(10)	1690112833023298499	0 2 12 14 90 92 168 170 180 182	1126619679708
SPT(16)	1690113348057284749	0 42 54 70 88 114 124 130 252 258 268 294 312 328 340 382	1641653665958