Prime p₀= 4387505142996338681 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 70 2 70 2 34 2 (?)
a_n: 0 2 36 38 108 110 180 182 216 218
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: 218
Found by: [SG]KidDoesCrunch
db: batch=85, k=10, 2 34 2 70 2

STPT(10)	4387502862469386761	0 2 6 8 48 50 90 92 96 98	-2280526951920
STPT(10)	4387503494646759959	0 2 42 44 90 92 138 140 180 182	-1648349578722
SPT(16)	4387503687291773413	0 30 46 54 78 96 154 156 178 180 238 256 280 288 304 334	-1455704565268
SPT(16)	4387503732681102893	0 90 104 114 116 150 168 234 290 356 374 408 410 420 434 524	-1410315235788
SPT(16)	4387504089218955751	0 12 16 28 36 40 46 48 70 72 78 82 90 102 106 118	-1053777382930
STPT(10)	4387504623411344387	0 2 30 32 42 44 54 56 84 86	-519584994294
SPT(16)	4387505181254518483	0 6 24 28 30 94 144 196 198 250 300 364 366 370 388 394	38258179802
SPT(16)	4387505489668879033	0 4 24 66 78 100 144 210 334 400 444 466 478 520 540 544	346672540352
STPT(10)	4387505603711992427	0 2 30 32 42 44 54 56 84 86	460715653746
SPT(16)	4387506056570532473	0 54 68 138 158 198 224 230 264 270 296 336 356 426 440 494	913574193792
TPT(14)	4387506103514095337	0 2 12 14 114 116 180 182 240 242 282 284 360 362	960517756656