Prime p₀= 2623782540788920307 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

STPT(10)	2623779949168029437	0 2 30 32 60 62 90 92 120 122	-2591620890870
SPT(16)	2623780209943368761	0 18 36 80 96 102 126 152 216 242 266 272 288 332 350 368	-2330845551546
TPT(14)	2623780917414195311	0 2 66 68 78 80 90 92 120 122 126 128 246 248	-1623374724996
SPT(16)	2623780928536247057	0 2 44 54 84 86 114 132 134 152 180 182 212 222 264 266	-1612252673250
SPT(16)	2623781237276794097	0 6 60 66 114 144 164 174 206 216 236 266 314 320 374 380	-1303512126210
SPT(16)	2623781560397603743	0 4 16 34 126 148 166 168 286 288 306 328 420 438 450 454	-980391316564
SPT(16)	2623782874706951863	0 10 24 48 58 76 90 156 178 244 258 276 286 310 324 334	333918031556
TPT(14)	2623783014740500577	0 2 30 32 72 74 180 182 222 224 264 266 390 392	473951580270
STPT(10)	2623783161814469267	0 2 30 32 42 44 54 56 84 86	621025548960
SPT(16)	2623783442640351539	0 8 18 32 120 140 150 174 218 242 252 272 360 374 384 392	901851431232
SPT(16)	2623783529603185451	0 12 32 78 108 152 162 206 222 266 276 320 350 396 416 428	988814265144