Prime p₀= 765854828975668259 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Daniel
db: batch=73, k=10, 2 16 2 40 2

SPT(16)	765853965410532871	0 22 28 36 52 66 82 120 208 246 262 276 292 300 306 328	-863565135388
SPT(16)	765854313178678007	0 20 60 72 92 102 140 162 194 216 254 264 284 296 336 356	-515796990252
SPT(16)	765854356194771551	0 2 8 96 110 116 122 126 152 156 162 168 182 270 276 278	-472780896708
STPT(10)	765854433287663021	0 2 30 32 78 80 126 128 156 158	-395688005238
SPT(16)	765854623790127719	0 14 18 24 30 42 60 72 80 92 110 122 128 134 138 152	-205185540540
SPT(16)	765854699146393579	0 24 34 52 60 78 100 120 142 162 184 202 210 228 238 262	-129829274680
SPT(16)	765855145695282611	0 38 50 62 122 132 146 156 182 192 206 216 276 288 300 338	316719614352
TPT(14)	765855175064574149	0 2 42 44 60 62 120 122 168 170 240 242 252 254	346088905890
SPT(16)	765855869508504319	0 12 18 48 72 88 114 142 240 268 294 310 334 364 370 382	1040532836060
TPT(14)	765856071209057159	0 2 42 44 48 50 60 62 168 170 210 212 258 260	1242233388900
TPT(14)	765856285735912097	0 2 60 62 84 86 114 116 234 236 282 284 312 314	1456760243838