Prime p₀= 2797002242878288787 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: UBT - Timbo
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2797001542881144341	0 2 42 68 72 78 122 140 150 168 212 218 222 248 288 290	-699997144446
STPT(10)	2797001672291705699	0 2 18 20 30 32 42 44 60 62	-570586583088
SPT(16)	2797001797554752149	0 10 112 148 162 168 180 190 192 202 214 220 234 270 372 382	-445323536638
SPT(16)	2797001930465640013	0 4 6 18 36 54 78 90 154 166 190 208 226 238 240 244	-312412648774
SPT(16)	2797002051180175649	0 20 32 42 74 104 114 200 222 308 318 348 380 390 402 422	-191698113138
SPT(16)	2797002210543401321	0 38 90 96 126 140 152 156 182 186 198 212 242 248 300 338	-32334887466
SPT(16)	2797002721836074441	0 26 126 140 170 186 228 260 288 320 362 378 408 422 522 548	478957785654
STPT(10)	2797002931192254539	0 2 18 20 30 32 42 44 60 62	688313965752
SPT(16)	2797003246619352713	0 38 78 126 140 174 200 204 290 294 320 354 368 416 456 494	1003741063926
SPT(16)	2797003299810786119	0 60 74 98 102 162 188 224 258 294 320 380 384 408 422 482	1056932497332
STPT(10)	2797003907512955867	0 2 24 26 42 44 60 62 84 86	1664634667080