Prime p₀= 2401378218694253801 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Roadranner
db: batch=82, k=10, 2 28 2 28 2

STPT(10)	2401377070097174159	0 2 48 50 90 92 132 134 180 182	-1148597079642
STPT(10)	2401377220775806421	0 2 36 38 78 80 120 122 156 158	-997918447380
STPT(10)	2401377377093018897	0 2 24 26 42 44 60 62 84 86	-841601234904
SPT(16)	2401377653449385239	0 12 52 82 100 102 132 154 198 220 250 252 270 300 340 352	-565244868562
SPT(16)	2401377691310421401	0 2 48 78 92 116 120 156 272 308 312 336 350 380 426 428	-527383832400
STPT(10)	2401377948645198737	0 2 30 32 42 44 54 56 84 86	-270049055064
TPT(14)	2401378452328193969	0 2 12 14 120 122 138 140 288 290 360 362 408 410	233633940168
SPT(16)	2401378486436323969	0 40 58 82 84 108 120 124 138 142 154 178 180 204 222 262	267742070168
SPT(16)	2401378847836377443	0 14 20 66 80 90 104 126 188 210 224 234 248 294 300 314	629142123642
STPT(10)	2401378878143652761	0 2 6 8 48 50 90 92 96 98	659449398960
SPT(16)	2401379346813897781	0 22 66 100 106 126 156 172 210 226 256 276 282 316 360 382	1128119643980