Prime p₀= 848238797073222857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Dr Who Fan
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	848237947808312291	0 26 38 86 102 110 138 140 168 170 198 206 222 270 282 308	-849264910566
SPT(18)	848237976786276833	0 30 54 98 108 194 198 234 240 248 254 290 294 380 390 434 458 488	-820286946024
SPT(16)	848238004334374021	0 16 18 78 82 88 166 238 240 312 390 396 400 460 462 478	-792738848836
STPT(12)	848238039954726467	0 2 12 14 54 56 60 62 102 104 114 116	-757118496390
STPT(10)	848238582830369711	0 2 30 32 78 80 126 128 156 158	-214242853146
STPT(12)	848238737879453909	0 2 30 32 60 62 102 104 132 134 162 164	-59193768948
STPT(10)	848238880551678557	0 2 30 32 42 44 54 56 84 86	83478455700
STPT(10)	848239210594275551	0 2 6 8 18 20 30 32 36 38	413521052694
SPT(16)	848239904167794407	0 62 66 86 90 140 146 180 206 240 246 296 300 320 324 386	1107094571550
STPT(10)	848240743710621029	0 2 18 20 30 32 42 44 60 62	1946637398172
STPT(10)	848240751382408127	0 2 42 44 72 74 102 104 144 146	1954309185270