Prime p₀= 2301799354193878697 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: Landjunge
db: batch=81, k=10, 2 52 2 16 2

STPT(10)	2301796356327443819	0 2 18 20 30 32 42 44 60 62	-2997866434878
SPT(16)	2301796478955588397	0 4 12 16 90 132 136 156 280 300 304 346 420 424 432 436	-2875238290300
STPT(10)	2301796601880946109	0 2 42 44 60 62 78 80 120 122	-2752312932588
SPT(16)	2301797085723511781	0 18 26 38 62 66 96 150 188 242 272 276 300 312 320 338	-2268470366916
SPT(13)	2301797302190088337	0 12 42 66 96 150 276 402 456 486 510 540 552	-2052003790360
SPT(16)	2301798718213390031	0 6 18 48 62 72 140 152 216 228 296 306 320 350 362 368	-635980488666
SPT(16)	2301799460852730329	0 50 54 72 122 128 138 162 170 194 204 210 260 278 282 332	106658851632
STPT(10)	2301800131927948037	0 2 12 14 42 44 72 74 84 86	777734069340
STPT(10)	2301800216464189451	0 2 90 92 108 110 126 128 216 218	862270310754
STPT(10)	2301800551429293281	0 2 6 8 48 50 90 92 96 98	1197235414584
STPT(10)	2301800658483830771	0 2 36 38 78 80 120 122 156 158	1304289952074