Prime p₀= 2161144571991381419 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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=81, k=10, 2 40 2 16 2

SPT(16)	2161144079944977709	0 4 24 28 54 70 102 112 180 190 222 238 264 268 288 292	-492046403710
SPT(16)	2161144145153376623	0 30 56 80 116 126 146 170 186 210 230 240 276 300 326 356	-426838004796
STPT(12)	2161144298416726277	0 2 12 14 30 32 114 116 132 134 144 146	-273574655142
STPT(10)	2161144373240575757	0 2 60 62 72 74 84 86 144 146	-198750805662
STPT(10)	2161144452920065157	0 2 30 32 42 44 54 56 84 86	-119071316262
STPT(10)	2161144495656508259	0 2 42 44 60 62 78 80 120 122	-76334873160
SPT(16)	2161145097923971151	0 38 90 122 150 182 198 290 300 392 408 440 468 500 552 590	525932589732
SPT(16)	2161145424847047637	0 42 70 136 190 232 250 256 270 276 294 336 390 456 484 526	852855666218
SPT(16)	2161145537035426363	0 6 28 30 36 60 88 160 186 258 286 310 316 318 340 346	965044044944
SPT(16)	2161145564254633337	0 24 30 84 104 150 210 216 314 320 380 426 446 500 506 530	992263251918
SPT(16)	2161145860896714673	0 10 36 66 78 88 90 108 238 256 258 268 280 310 336 346	1288905333254