Prime p₀= 2392812488709838301 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: Landjunge
db: batch=81, k=10, 2 76 2 58 2

SPT(16)	2392809955010723179	0 60 78 84 88 208 214 250 252 288 294 414 418 424 442 502	-2533699115122
STPT(10)	2392810725903230819	0 2 18 20 30 32 42 44 60 62	-1762806607482
TPT(14)	2392810883093843057	0 2 24 26 30 32 42 44 60 62 72 74 84 86	-1605615995244
SPT(16)	2392811779490261341	0 18 46 78 90 108 142 172 216 246 280 298 310 342 370 388	-709219576960
STPT(10)	2392811881299269231	0 2 6 8 48 50 90 92 96 98	-607410569070
SPT(16)	2392812292014667741	0 58 78 150 162 232 238 270 280 312 318 388 400 472 492 550	-196695170560
STPT(10)	2392812893166376997	0 2 30 32 42 44 54 56 84 86	404456538696
SPT(16)	2392813023116397347	0 32 72 74 92 104 120 170 174 224 240 252 270 272 312 344	534406559046
STPT(10)	2392813417881900491	0 2 30 32 78 80 126 128 156 158	929172062190
SPT(16)	2392813450328332861	0 16 18 58 70 112 118 142 156 180 186 228 240 280 282 298	961618494560
STPT(10)	2392813557535667879	0 2 18 20 30 32 42 44 60 62	1068825829578