Prime p₀= 2021056511339936009 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: LeChat51X
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2021055294937028423	0 24 66 68 98 176 188 216 308 336 348 426 456 458 500 524	-1216402907586
STPT(10)	2021055390054730199	0 2 42 44 60 62 78 80 120 122	-1121285205810
STPT(12)	2021055743384012759	0 2 138 140 222 224 378 380 462 464 600 602	-767955923250
STPT(10)	2021055801933775331	0 2 6 8 48 50 90 92 96 98	-709406160678
STPT(10)	2021056161081611117	0 2 60 62 102 104 144 146 204 206	-350258324892
STPT(10)	2021056173201424937	0 2 30 32 42 44 54 56 84 86	-338138511072
STPT(10)	2021056662677734007	0 2 60 62 72 74 84 86 144 146	151337797998
SPT(18)	2021057210446774369	0 24 28 42 78 84 108 130 148 174 192 214 238 244 280 294 298 322	699106838360
SPT(16)	2021057438161008619	0 22 28 54 102 108 130 142 150 162 184 190 238 264 270 292	926821072610
SPT(16)	2021057478956777747	0 12 54 56 66 80 96 104 132 140 156 170 180 182 224 236	967616841738
SPT(16)	2021057766298663567	0 4 16 34 114 144 166 186 280 300 322 352 432 450 462 466	1254958727558