Prime p₀= 2324989751372563571 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: Landjunge
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2324988669922841579	0 12 42 74 90 128 194 270 392 468 534 572 588 620 650 662	-1081449721992
STPT(10)	2324988962440626257	0 2 12 14 42 44 72 74 84 86	-788931937314
STPT(10)	2324989304329495577	0 2 42 44 72 74 102 104 144 146	-447043067994
STPT(10)	2324989483146847337	0 2 60 62 72 74 84 86 144 146	-268225716234
SPT(16)	2324989569850271941	0 22 36 108 130 162 168 172 246 250 256 288 310 382 396 418	-181522291630
SPT(16)	2324989716291711589	0 28 42 64 84 124 148 168 184 204 228 268 288 310 324 352	-35080851982
SPT(16)	2324990704122552901	0 10 30 66 96 106 168 178 240 250 312 322 352 388 408 418	952749989330
TPT(14)	2324990854096343747	0 2 12 14 54 56 150 152 222 224 240 242 294 296	1102723780176
STPT(10)	2324991056676043487	0 2 30 32 42 44 54 56 84 86	1305303479916
SPT(16)	2324991199538299993	0 4 28 30 70 126 150 156 178 184 208 264 304 306 330 334	1448165736422
SPT(16)	2324991505842534883	0 18 34 46 60 78 106 144 190 228 256 274 288 300 316 334	1754469971312