Prime p₀= 2386561993671043421 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: [AF>Libristes] Davlabedave
db: batch=81, k=10, 2 28 2 46 2

SPT(16)	2386560546218246813	0 18 30 90 104 108 140 158 240 258 290 294 308 368 380 398	-1447452796608
STPT(10)	2386560756143786687	0 2 54 56 132 134 210 212 264 266	-1237527256734
STPT(10)	2386561209757028651	0 2 6 8 48 50 90 92 96 98	-783914014770
SPT(16)	2386561610812849957	0 34 120 172 222 232 246 252 334 340 354 364 414 466 552 586	-382858193464
SPT(16)	2386561636590069157	0 16 30 36 72 130 150 154 192 196 216 274 310 316 330 346	-357080974264
STPT(10)	2386561644181915799	0 2 18 20 30 32 42 44 60 62	-349489127622
SPT(16)	2386562005992979603	0 28 34 70 106 130 136 210 214 288 294 318 354 390 396 424	12321936182
STPT(10)	2386562087526818879	0 2 18 20 30 32 42 44 60 62	93855775458
SPT(16)	2386562264360320099	0 4 18 54 58 72 84 100 102 118 130 144 148 184 198 202	270689276678
SPT(16)	2386562348263474573	0 36 76 84 108 148 154 196 258 300 306 346 370 378 418 454	354592431152
SPT(16)	2386562853679369031	0 6 30 36 42 50 62 86 132 156 168 176 182 188 212 218	860008325610