Prime p₀= 2724453387950151857 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

SPT(16)	2724452408358140309	0 2 42 50 90 98 108 114 188 194 204 212 252 260 300 302	-979592011548
STPT(10)	2724452538183024917	0 2 30 32 72 74 114 116 144 146	-849767126940
SPT(16)	2724452559374139667	0 34 42 54 76 82 126 156 160 190 234 240 262 274 282 316	-828576012190
STPT(10)	2724453120607466747	0 2 30 32 72 74 114 116 144 146	-267342685110
STPT(10)	2724453258633926789	0 2 12 14 30 32 48 50 60 62	-129316225068
TPT(14)	2724453310260276557	0 2 30 32 54 56 174 176 210 212 222 224 252 254	-77689875300
TPT(14)	2724453993348313181	0 2 198 200 216 218 258 260 300 302 348 350 366 368	605398161324
SPT(16)	2724454018831980217	0 34 52 76 94 112 126 156 220 250 264 282 300 324 342 376	630881828360
SPT(20)	2724454374965586047	0 12 26 32 44 56 66 74 92 102 134 144 162 170 180 192 204 210 224 236	987015434190
SPT(16)	2724454425812979187	0 40 72 76 124 160 186 196 240 250 276 312 360 364 396 436	1037862827330
STPT(10)	2724454726992761459	0 2 12 14 90 92 168 170 180 182	1339042609602