Prime p₀= 2037021780738258869 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Landjunge
db: batch=80, k=10, 2 16 2 40 2

SPT(16)	2037020412565487021	0 2 18 60 96 122 192 228 260 296 366 392 428 470 486 488	-1368172771848
STPT(10)	2037020591205161867	0 2 30 32 42 44 54 56 84 86	-1189533097002
SPT(16)	2037020796050875751	0 2 78 98 162 168 180 210 230 260 272 278 342 362 438 440	-984687383118
SPT(16)	2037021051216305719	0 10 28 64 108 118 120 144 154 178 180 190 234 270 288 298	-729521953150
SPT(16)	2037021075113560463	0 44 54 56 78 114 120 198 266 344 350 386 408 410 420 464	-705624698406
SPT(16)	2037021122207108809	0 22 24 70 72 150 162 168 214 220 232 310 312 358 360 382	-658531150060
SPT(16)	2037021909585514121	0 12 20 56 92 132 152 176 186 210 230 270 306 342 350 362	128847255252
SPT(16)	2037022034985258421	0 46 72 102 106 190 210 262 336 388 408 492 496 526 552 598	254246999552
SPT(16)	2037022361152084283	0 14 18 38 54 60 66 80 84 98 104 110 126 146 150 164	580413825414
STPT(10)	2037022615202081537	0 2 30 32 60 62 90 92 120 122	834463822668
SPT(16)	2037022768113554797	0 24 52 60 66 114 144 162 184 202 232 280 286 294 322 346	987375295928