Prime p₀= 2465835718729437557 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)	2465834755877795021	0 20 38 42 56 110 146 152 186 192 228 282 296 300 318 338	-962851642536
STPT(10)	2465834838841693127	0 2 12 14 42 44 72 74 84 86	-879887744430
SPT(16)	2465835026436590033	0 26 60 78 144 150 180 186 218 224 254 260 326 344 378 404	-692292847524
STPT(10)	2465835182139591629	0 2 12 14 90 92 168 170 180 182	-536589845928
SPT(16)	2465835442771202609	0 20 44 74 108 122 144 150 182 188 210 224 258 288 312 332	-275958234948
STPT(10)	2465835500209476089	0 2 30 32 60 62 90 92 120 122	-218519961468
STPT(10)	2465835853798807739	0 2 18 20 30 32 42 44 60 62	135069370182
STPT(10)	2465836018859791547	0 2 12 14 72 74 132 134 144 146	300130353990
SPT(16)	2465836054903668091	0 10 12 30 42 58 88 100 108 120 150 166 178 196 198 208	336174230534
SPT(16)	2465836736055796601	0 60 66 78 122 138 192 218 270 296 350 366 410 422 428 488	1017326359044
SPT(16)	2465837444412978997	0 54 82 96 114 132 142 174 292 324 334 352 370 384 412 466	1725683541440