Prime p₀= 2667588830291055677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2667587600846527517	0 2 12 14 72 74 132 134 144 146	-1229444528160
STPT(10)	2667587603997626501	0 2 36 38 78 80 120 122 156 158	-1226293429176
SPT(16)	2667587668596949727	0 2 30 44 114 132 140 146 180 186 194 212 282 296 324 326	-1161694105950
SPT(13)	2667587705009697179	0 72 150 162 180 204 222 240 264 282 294 372 444	-1125281358498
STPT(10)	2667588808181836937	0 2 30 32 72 74 114 116 144 146	-22109218740
SPT(16)	2667588824199687103	0 16 18 58 60 106 108 126 130 148 150 196 198 238 240 256	-6091368574
SPT(16)	2667588855287214223	0 10 16 18 54 60 66 70 84 88 94 100 136 138 144 154	24996158546
STPT(10)	2667588875860796087	0 2 12 14 72 74 132 134 144 146	45569740410
SPT(16)	2667589064570006573	0 20 68 78 80 86 98 126 260 288 300 306 308 318 366 386	234278950896
SPT(16)	2667589260766648027	0 12 36 42 46 66 130 166 216 252 316 336 340 346 370 382	430475592350
TPT(14)	2667589472514289877	0 2 264 266 294 296 372 374 402 404 450 452 462 464	642223234200