Prime p₀= 2157371056546574129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2157369521619620533	0 10 16 46 70 88 96 130 234 268 276 294 318 348 354 364	-1534926953596
SPT(16)	2157369531239471023	0 28 34 54 76 124 126 144 160 178 180 228 250 270 276 304	-1525307103106
STPT(10)	2157370372460701661	0 2 6 8 48 50 90 92 96 98	-684085872468
STPT(10)	2157370595533644017	0 2 90 92 102 104 114 116 204 206	-461012930112
TPT(14)	2157370631556778409	0 2 30 32 48 50 78 80 132 134 198 200 210 212	-424989795720
STPT(10)	2157370839303184751	0 2 36 38 78 80 120 122 156 158	-217243389378
TPT(14)	2157371782993585049	0 2 48 50 78 80 90 92 138 140 180 182 222 224	726447010920
SPT(16)	2157372166319634227	0 12 32 36 42 66 176 222 314 360 470 494 500 504 524 536	1109773060098
STPT(10)	2157372497543524757	0 2 60 62 72 74 84 86 144 146	1440996950628
SPT(16)	2157372646381493999	0 2 14 20 44 98 120 150 152 182 204 258 282 288 300 302	1589834919870
SPT(16)	2157372916098468491	0 2 8 20 42 62 92 96 122 126 156 176 198 210 216 218	1859551894362