Prime p₀= 756397440994273649 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Vitalii Koshura
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	756396165802783369	0 28 34 40 58 84 138 160 162 184 238 264 282 288 294 322	-1275191490280
SPT(16)	756397045605663181	0 40 46 66 76 108 166 180 208 222 280 312 322 342 348 388	-395388610468
SPT(16)	756397052511381653	0 14 30 36 50 66 80 128 246 294 308 324 338 344 360 374	-388482891996
STPT(10)	756397130574802469	0 2 18 20 30 32 42 44 60 62	-310419471180
SPT(18)	756397349843424011	0 6 8 30 42 66 72 98 116 132 150 176 182 206 218 240 242 248	-91150849638
SPT(16)	756397424194288763	0 38 66 90 144 200 206 234 260 288 294 350 404 428 456 494	-16799984886
STPT(10)	756397644756944189	0 2 18 20 30 32 42 44 60 62	203762670540
SPT(16)	756397885692965513	0 26 44 56 78 98 110 144 170 204 216 236 258 270 288 314	444698691864
SPT(16)	756398296780614857	0 26 32 42 54 56 74 84 92 102 120 122 134 144 150 176	855786341208
STPT(10)	756398521453018859	0 2 18 20 30 32 42 44 60 62	1080458745210
SPT(16)	756398521983016247	0 32 80 90 96 102 122 126 296 300 320 326 332 342 390 422	1080988742598