Prime p₀= 2574541482867406667 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2574540027826281257	0 2 12 14 42 44 72 74 84 86	-1455041125410
STPT(10)	2574540176548948511	0 2 36 38 78 80 120 122 156 158	-1306318458156
SPT(16)	2574540650363620397	0 2 32 90 114 144 174 240 296 362 392 422 446 504 534 536	-832503786270
SPT(16)	2574541167953199281	0 36 50 78 92 110 116 156 182 222 228 246 260 288 302 338	-314914207386
TPT(16)	2574541187005384019	0 2 78 80 132 134 150 152 168 170 192 194 258 260 330 332	-295862022648
STPT(10)	2574541272263590541	0 2 6 8 18 20 30 32 36 38	-210603816126
STPT(10)	2574541495263056489	0 2 18 20 60 62 102 104 120 122	12395649822
STPT(10)	2574541624195454657	0 2 42 44 72 74 102 104 144 146	141328047990
SPT(16)	2574541652580109099	0 12 18 24 34 40 42 82 180 220 222 228 238 244 250 262	169712702432
SPT(16)	2574541677948997277	0 44 80 92 114 120 140 170 174 204 224 230 252 264 300 344	195081590610
STPT(10)	2574541700909151989	0 2 78 80 120 122 162 164 240 242	218041745322