Prime p₀= 1337160487110232451 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: HenkM
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1337158785373983877	0 16 30 76 96 132 142 184 222 264 274 310 330 376 390 406	-1701736248574
SPT(16)	1337158867171230889	0 70 90 132 144 148 174 210 232 268 294 298 310 352 372 442	-1619939001562
SPT(16)	1337158989488474519	0 20 24 38 48 98 110 134 138 162 174 224 234 248 252 272	-1497621757932
SPT(16)	1337159217295273573	0 88 90 120 138 154 160 208 216 264 270 286 304 334 336 424	-1269814958878
STPT(10)	1337159398318747151	0 2 36 38 78 80 120 122 156 158	-1088791485300
SPT(16)	1337160124401312131	0 6 12 26 138 140 152 170 198 216 228 230 342 356 362 368	-362708920320
SPT(16)	1337160563596983677	0 32 110 116 170 192 230 242 264 276 314 336 390 396 474 506	76486751226
STPT(10)	1337160578110290119	0 2 18 20 30 32 42 44 60 62	91000057668
SPT(16)	1337161076744394871	0 28 40 60 76 100 118 138 160 180 198 222 238 258 270 298	589634162420
SPT(18)	1337161408359307379	0 24 92 212 224 300 312 318 374 378 434 440 452 528 540 660 728 752	921249074928
STPT(10)	1337161439652919217	0 2 30 32 120 122 210 212 240 242	952542686766