Prime p₀= 837677858755863467 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=73, k=10, 2 22 2 16 2

SPT(16)	837675583251416717	0 20 30 62 80 140 170 194 210 234 264 324 342 374 384 404	-2275504446750
STPT(10)	837675731840947367	0 2 30 32 42 44 54 56 84 86	-2126914916100
SPT(16)	837676074533945021	0 8 42 48 78 86 156 176 222 242 312 320 350 356 390 398	-1784221918446
SPT(16)	837676803901697257	0 54 60 70 124 130 136 166 234 264 270 276 330 340 346 400	-1054854166210
SPT(16)	837677279791321423	0 16 46 84 108 124 154 178 186 210 240 256 280 318 348 364	-578964542044
SPT(16)	837677752034406497	0 12 44 74 102 110 126 144 152 170 186 194 222 252 284 296	-106721456970
STPT(10)	837677972490242579	0 2 48 50 90 92 132 134 180 182	113734379112
STPT(10)	837678061781679617	0 2 30 32 72 74 114 116 144 146	203025816150
STPT(10)	837678181565004677	0 2 42 44 72 74 102 104 144 146	322809141210
SPT(16)	837678596717051329	0 70 78 84 100 102 132 168 304 340 370 372 388 394 402 472	737961187862
SPT(16)	837678846732714073	0 40 66 76 120 124 126 136 138 148 150 154 198 208 234 274	987976850606