Prime p₀= 2050102745799270101 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Landjunge
db: batch=80, k=10, 2 34 2 40 2

SPT(16)	2050101748890562561	0 6 36 42 88 108 112 132 166 186 190 210 256 262 292 298	-996908707540
STPT(10)	2050101836557778291	0 2 36 38 78 80 120 122 156 158	-909241491810
STPT(10)	2050101944474997377	0 2 30 32 42 44 54 56 84 86	-801324272724
TPT(14)	2050102092953274629	0 2 318 320 360 362 432 434 462 464 528 530 588 590	-652845995472
SPT(16)	2050102317384685793	0 8 20 50 54 60 78 140 144 206 224 230 234 264 276 284	-428414584308
STPT(10)	2050102586592419501	0 2 6 8 18 20 30 32 36 38	-159206850600
SPT(16)	2050102845019379851	0 18 42 70 88 112 130 178 240 288 306 330 348 376 400 418	99220109750
SPT(20)	2050102990380105677	0 20 30 44 60 74 90 156 176 186 230 240 260 326 342 356 372 386 396 416	244580835576
SPT(16)	2050103111011973599	0 30 40 58 60 108 114 142 180 208 214 262 264 282 292 322	365212703498
SPT(16)	2050103277692079679	0 24 28 82 150 174 210 222 280 292 328 352 420 474 478 502	531892809578
STPT(10)	2050103477269736267	0 2 30 32 42 44 54 56 84 86	731470466166