Prime p₀= 2424000875861305847 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Roadranner
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2423999537298840881	0 32 50 98 122 168 230 260 300 330 392 438 462 510 528 560	-1338562464966
SPT(16)	2423999578112228927	0 42 54 62 72 114 152 266 270 384 422 464 474 482 494 536	-1297749076920
STPT(10)	2423999869229392841	0 2 30 32 78 80 126 128 156 158	-1006631913006
SPT(16)	2423999995445818781	0 6 56 78 92 110 120 138 140 158 168 186 200 222 272 278	-880415487066
TPT(14)	2424000105865455251	0 2 30 32 78 80 96 98 120 122 180 182 246 248	-769995850596
SPT(16)	2424000741673917137	0 30 72 92 114 132 146 162 194 210 224 242 264 284 326 356	-134187388710
STPT(10)	2424001409245448729	0 2 12 14 90 92 168 170 180 182	533384142882
STPT(10)	2424001607386820441	0 2 30 32 78 80 126 128 156 158	731525514594
TPT(14)	2424002134176643379	0 2 60 62 102 104 168 170 228 230 258 260 282 284	1258315337532
STPT(10)	2424002288073138527	0 2 30 32 42 44 54 56 84 86	1412211832680
STPT(10)	2424002522461028849	0 2 18 20 30 32 42 44 60 62	1646599723002