Prime p₀= 1232924442473579039 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: Theadalus
db: batch=77, k=10, 2 16 2 10 2

SPT(18)	1232923328800858403	0 14 24 86 90 120 144 158 168 206 216 230 254 284 288 350 360 374	-1113672720636
STPT(10)	1232923336532867387	0 2 42 44 72 74 102 104 144 146	-1105940711652
SPT(16)	1232923916913871027	0 30 54 84 102 132 186 214 222 250 304 334 352 382 406 436	-525559708012
SPT(16)	1232923976901060449	0 32 42 62 78 132 180 200 210 230 278 332 348 368 378 410	-465572518590
SPT(16)	1232924380927124659	0 12 30 34 54 72 90 114 298 322 340 358 378 382 400 412	-61546454380
SPT(16)	1232924427212941037	0 12 26 66 110 116 126 170 276 320 330 336 380 420 434 446	-15260638002
SPT(16)	1232924695936076551	0 6 78 90 108 130 160 168 220 228 258 280 298 310 382 388	253462497512
STPT(10)	1232924870937689099	0 2 18 20 30 32 42 44 60 62	428464110060
SPT(16)	1232924975880942613	0 16 24 76 84 96 118 124 150 156 178 190 198 250 258 274	533407363574
SPT(16)	1232925212497125593	0 66 68 96 144 180 194 224 270 300 314 350 398 426 428 494	770023546554
STPT(10)	1232925573511911491	0 2 36 38 78 80 120 122 156 158	1131038332452