Prime p₀= 2333417675788243787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2333416450738002479	0 20 54 62 84 120 122 150 152 180 182 218 240 248 282 302	-1225050241308
STPT(12)	2333416773932865977	0 2 30 32 42 44 102 104 114 116 144 146	-901855377810
STPT(10)	2333416818249074417	0 2 30 32 72 74 114 116 144 146	-857539169370
SPT(16)	2333416850539107539	0 12 72 92 138 140 152 182 420 450 462 464 510 530 590 602	-825249136248
SPT(16)	2333416886513062289	0 18 30 38 62 84 114 128 144 158 188 210 234 242 254 272	-789275181498
STPT(10)	2333417585296714121	0 2 6 8 18 20 30 32 36 38	-90491529666
SPT(16)	2333417856359404127	0 42 60 62 102 104 120 150 176 206 222 224 264 266 284 326	180571160340
SPT(16)	2333417895514350059	0 24 44 74 90 114 132 150 164 182 200 224 240 270 290 314	219726106272
SPT(16)	2333417903966591293	0 4 66 120 124 144 190 234 250 294 340 360 364 418 480 484	228178347506
SPT(16)	2333417954084446937	0 26 30 54 66 80 92 96 140 144 156 170 182 206 210 236	278296203150
SPT(16)	2333417985311129257	0 52 66 72 102 126 142 192 220 270 286 310 340 346 360 412	309522885470