Prime p₀= 1051415398397750567 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: stoneageman
db: batch=76, k=10, 2 28 2 10 2

STPT(10)	1051413904812136427	0 2 42 44 72 74 102 104 144 146	-1493585614140
STPT(10)	1051414749517622261	0 2 30 32 78 80 126 128 156 158	-648880128306
STPT(10)	1051414853463122999	0 2 42 44 90 92 138 140 180 182	-544934627568
STPT(10)	1051415056483649951	0 2 30 32 60 62 90 92 120 122	-341914100616
TPT(14)	1051415171232431051	0 2 60 62 96 98 258 260 270 272 390 392 426 428	-227165319516
SPT(16)	1051415233733004367	0 22 30 36 40 42 64 90 106 132 154 156 160 166 174 196	-164664746200
SPT(16)	1051415401168104757	0 24 70 96 130 136 144 192 214 262 270 276 310 336 382 406	2770354190
SPT(16)	1051415667842773193	0 38 56 78 104 108 140 218 246 324 356 360 386 408 426 464	269445022626
SPT(16)	1051415806362872693	0 26 36 68 78 98 114 150 224 260 276 296 306 338 348 374	407965122126
SPT(16)	1051416007600050629	0 18 42 84 102 108 122 182 270 330 344 350 368 410 434 452	609202300062
STPT(10)	1051416021585225629	0 2 48 50 90 92 132 134 180 182	623187475062