Prime p₀= 2867050788870674849 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: [SG]ATA-Rolf
db: batch=82, k=10, 2 16 2 40 2

STPT(10)	2867049792188315021	0 2 36 38 78 80 120 122 156 158	-996682359828
SPT(16)	2867049864469909243	0 4 6 24 88 118 154 220 234 300 336 366 430 448 450 454	-924400765606
SPT(16)	2867049883064375627	0 36 50 84 86 104 120 126 170 176 192 210 212 246 260 296	-905806299222
SPT(18)	2867050045884886109	0 2 48 62 68 84 138 150 174 188 212 224 278 294 300 314 360 362	-742985788740
SPT(16)	2867050118278174757	0 32 36 54 62 110 134 140 186 192 216 264 272 290 294 326	-670592500092
SPT(16)	2867050320604006049	0 24 44 122 140 144 170 182 192 204 230 234 252 330 350 374	-468266668800
SPT(16)	2867051272113965257	0 12 52 54 72 144 154 172 192 210 220 292 310 312 352 364	483243290408
SPT(16)	2867051544405765931	0 22 40 42 60 78 82 90 118 126 130 148 166 168 186 208	755535091082
SPT(16)	2867051566586190499	0 28 52 64 90 130 174 180 202 208 252 292 318 330 354 382	777715515650
STPT(10)	2867051678393246987	0 2 24 26 42 44 60 62 84 86	889522572138
SPT(16)	2867051825704372277	0 6 12 56 80 170 206 242 264 300 336 426 450 494 500 506	1036833697428