Prime p₀= 2063123612341107521 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: JonS
db: batch=80, k=10, 2 4 2 10 2

SPT(13)	2063122460903687489	0 18 48 60 108 168 180 192 252 300 312 342 360	-1151437420032
STPT(10)	2063122468790780627	0 2 24 26 42 44 60 62 84 86	-1143550326894
SPT(16)	2063122540551235621	0 42 76 82 100 118 150 162 196 208 240 258 276 282 316 358	-1071789871900
SPT(16)	2063123053963009127	0 26 84 90 152 180 192 222 344 374 386 414 476 482 540 566	-558378098394
SPT(16)	2063123580560437627	0 46 52 70 126 136 144 154 162 172 180 190 246 264 270 316	-31780669894
STPT(10)	2063123601869144567	0 2 30 32 42 44 54 56 84 86	-10471962954
SPT(16)	2063123755499201159	0 8 18 50 74 78 140 198 260 318 380 384 408 440 450 458	143158093638
SPT(16)	2063123795215374739	0 4 30 130 210 214 232 262 282 312 330 334 414 514 540 544	182874267218
SPT(16)	2063123804831733383	0 6 54 78 80 90 120 138 176 194 224 234 236 260 308 314	192490625862
STPT(10)	2063124303282337109	0 2 42 44 90 92 138 140 180 182	690941229588
STPT(10)	2063124367768957991	0 2 36 38 78 80 120 122 156 158	755427850470