Prime p₀= 2623034523260414717 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(13)	2623033417102298339	0 60 72 90 102 132 150 168 198 210 228 240 300	-1106158116378
SPT(16)	2623033482585926149	0 10 22 54 82 108 168 174 238 244 304 330 358 390 402 412	-1040674488568
STPT(10)	2623033493546251571	0 2 36 38 78 80 120 122 156 158	-1029714163146
SPT(16)	2623033629168585379	0 10 28 88 118 132 162 190 192 220 250 264 294 354 372 382	-894091829338
SPT(16)	2623033877724739043	0 50 68 90 96 110 134 140 174 180 204 218 224 246 264 314	-645535675674
SPT(16)	2623034514925412771	0 18 36 50 56 108 126 138 140 152 170 222 228 242 260 278	-8335001946
SPT(16)	2623035162254750473	0 40 46 96 136 214 286 300 304 318 390 468 508 558 564 604	638994335756
SPT(16)	2623035194520880339	0 18 40 58 124 132 144 184 198 238 250 258 324 342 364 382	671260465622
STPT(10)	2623035369354275147	0 2 24 26 42 44 60 62 84 86	846093860430
STPT(10)	2623035586939202189	0 2 18 20 30 32 42 44 60 62	1063678787472
STPT(10)	2623035634354073747	0 2 12 14 42 44 72 74 84 86	1111093659030