Prime p₀= 1182597687506686457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: HenkM
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1182595749233292971	0 36 38 42 92 126 150 168 170 188 212 246 296 300 302 338	-1938273393486
STPT(10)	1182596440303548341	0 2 30 32 78 80 126 128 156 158	-1247203138116
SPT(16)	1182596652152708561	0 2 42 62 90 116 132 170 378 416 432 458 486 506 546 548	-1035353977896
SPT(16)	1182596953245122011	0 18 22 72 78 88 108 126 172 190 210 220 226 276 280 298	-734261564446
STPT(10)	1182597490611322349	0 2 12 14 90 92 168 170 180 182	-196895364108
STPT(10)	1182597647636878727	0 2 42 44 72 74 102 104 144 146	-39869807730
SPT(16)	1182597754134551081	0 26 48 62 96 140 158 176 192 210 228 272 306 320 342 368	66627864624
SPT(13)	1182598264059979771	0 12 30 42 78 102 120 138 162 198 210 228 240	576553293314
SPT(16)	1182598283959613231	0 2 6 116 162 168 170 188 210 228 230 236 282 392 396 398	596452926774
SPT(16)	1182598702456965103	0 24 48 60 100 126 136 144 160 168 178 204 244 256 280 304	1014950278646
SPT(16)	1182598810415779993	0 18 34 46 48 84 136 168 196 228 280 316 318 330 346 364	1122909093536