Prime p₀= 4092726318490101137 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: [AF>WildWildWest]Sebastien
db: batch=84, k=10, 2 22 2 16 2

SPT(16)	4092723376258520261	0 20 26 48 86 90 98 122 156 180 188 192 230 252 258 278	-2942231580876
SPT(16)	4092724112725618889	0 2 38 54 128 138 162 168 194 200 224 234 308 324 360 362	-2205764482248
SPT(16)	4092724285126427833	0 24 58 64 100 124 138 150 154 166 180 204 240 246 280 304	-2033363673304
SPT(13)	4092725038866683987	0 36 60 96 132 162 216 270 300 336 372 396 432	-1279623417150
SPT(16)	4092725557025385083	0 14 26 30 60 66 74 84 86 96 104 110 140 144 156 170	-761464716054
TPT(14)	4092726151962203669	0 2 18 20 90 92 168 170 180 182 240 242 258 260	-166527897468
STPT(10)	4092726758219152307	0 2 42 44 72 74 102 104 144 146	439729051170
STPT(10)	4092726812901163739	0 2 30 32 120 122 210 212 240 242	494411062602
STPT(10)	4092726834253458719	0 2 42 44 90 92 138 140 180 182	515763357582
STPT(10)	4092727202338042859	0 2 42 44 90 92 138 140 180 182	883847941722
SPT(16)	4092727293743032753	0 6 28 48 78 96 124 154 180 210 238 256 286 306 328 334	975252931616