Prime p₀= 2109570324352283657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 40 2 28 2

SPT(16)	2109568997867345461	0 6 28 42 90 100 108 130 198 220 228 238 286 300 322 328	-1326484938196
SPT(16)	2109569040648353359	0 34 40 60 70 78 144 174 208 238 304 312 322 342 348 382	-1283703930298
STPT(10)	2109569637647876111	0 2 66 68 138 140 210 212 276 278	-686704407546
SPT(16)	2109569662999732007	0 20 44 54 84 114 126 162 194 230 242 272 302 312 336 356	-661352551650
TPT(14)	2109570137324387579	0 2 18 20 30 32 210 212 228 230 288 290 342 344	-187027896078
STPT(10)	2109570247076969429	0 2 18 20 30 32 42 44 60 62	-77275314228
SPT(16)	2109570491280114829	0 28 30 54 58 114 120 130 162 172 178 234 238 262 264 292	166927831172
SPT(16)	2109570547293085309	0 28 58 70 72 112 124 138 184 198 210 250 252 264 294 322	222940801652
STPT(10)	2109570733556391401	0 2 6 8 18 20 30 32 36 38	409204107744
SPT(16)	2109570886681957967	0 2 14 24 30 42 60 74 132 146 164 176 182 192 204 206	562329674310
TPT(14)	2109570959277070097	0 2 54 56 90 92 144 146 174 176 240 242 312 314	634924786440