Prime p₀= 2168683637434516817 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Asgard2022
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2168682278277070783	0 6 24 28 36 58 64 84 100 120 126 148 156 160 178 184	-1359157446034
TPT(14)	2168682906327360989	0 2 12 14 18 20 60 62 102 104 150 152 210 212	-731107155828
SPT(16)	2168683034750658703	0 40 70 160 186 208 210 226 228 244 246 268 294 384 414 454	-602683858114
SPT(16)	2168683224809516453	0 78 86 108 114 120 150 164 210 224 254 260 266 288 296 374	-412625000364
SPT(16)	2168683397245054163	0 50 116 194 224 234 326 330 350 354 446 456 486 564 630 680	-240189462654
STPT(10)	2168683509620766251	0 2 36 38 78 80 120 122 156 158	-127813750566
TPT(14)	2168683987298293481	0 2 18 20 126 128 186 188 210 212 240 242 366 368	349863776664
STPT(10)	2168683991507328479	0 2 30 32 60 62 90 92 120 122	354072811662
SPT(16)	2168684205185254261	0 10 18 22 52 58 66 88 120 142 150 156 186 190 198 208	567750737444
SPT(16)	2168684436203958581	0 6 38 68 86 90 96 138 140 182 188 192 210 240 272 278	798769441764
STPT(10)	2168684814926024321	0 2 36 38 108 110 180 182 216 218	1177491507504