Prime p₀= 2919633919169019191 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 10 2 10 2 124 2 (?)
a_n: 0 2 126 128 138 140 150 152 276 278
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: 278
Found by: Landjunge
db: batch=82, k=10, 2 124 2 10 2

SPT(16)	2919632336970331511	0 8 18 60 72 92 128 158 180 210 246 266 278 320 330 338	-1582198687680
STPT(10)	2919632714709104267	0 2 30 32 42 44 54 56 84 86	-1204459914924
SPT(16)	2919633098917625957	0 14 44 116 152 242 312 336 350 374 444 534 570 642 672 686	-820251393234
STPT(12)	2919633305211396701	0 2 30 32 90 92 96 98 156 158 186 188	-613957622490
SPT(16)	2919633396359009507	0 42 50 56 62 80 114 134 282 302 336 354 360 366 374 416	-522810009684
SPT(20)	2919633903139256539	0 4 40 70 82 112 118 208 210 222 370 382 384 474 480 510 522 552 588 592	-16029762652
SPT(16)	2919633962311487023	0 54 66 70 96 126 198 210 304 316 388 418 444 448 460 514	43142467832
STPT(10)	2919633987136602059	0 2 18 20 30 32 42 44 60 62	67967582868
STPT(10)	2919633990798127661	0 2 36 38 78 80 120 122 156 158	71629108470
SPT(16)	2919634189803694619	0 18 20 54 60 90 98 104 138 144 152 182 188 222 224 242	270634675428
SPT(16)	2919634897884606931	0 18 52 82 126 138 252 276 292 316 430 442 486 516 550 568	978715587740