Prime p₀= 52367757279069077 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: ChelseaOilman
db: batch=65, k=10, 2 22 2 16 2

SPT(14)	52367728670343323	0 18 24 26 30 56 96 128 168 194 198 200 206 224	-28608725754
STPT(14)	52367733685120277	0 2 30 32 54 56 72 74 90 92 114 116 144 146	-23593948800
TPT(14)	52367733685120277	0 2 30 32 54 56 72 74 90 92 114 116 144 146	-23593948800
SPT(14)	52367733685120277	0 2 30 32 54 56 72 74 90 92 114 116 144 146	-23593948800
SPT(14)	52367734116030913	0 30 46 48 54 114 130 264 280 340 346 348 364 394	-23163038164
SPT(14)	52367751100121519	0 12 18 30 38 54 84 98 128 144 152 164 170 182	-6178947558
SPT(14)	52367767093677247	0 6 34 36 42 76 120 226 270 304 310 312 340 346	9814608170
TPT(12)	52367771439718949	0 2 30 32 90 92 168 170 210 212 282 284	14160649872
SPT(14)	52367788186240279	0 18 22 30 88 90 100 102 112 114 172 180 184 202	30907171202
TPT(12)	52367825935933271	0 2 30 32 36 38 126 128 150 152 156 158	68656864194
SPT(14)	52367833305684241	0 22 48 60 78 112 190 198 276 310 328 340 366 388	76026615164