Prime p₀= 2826419246763193967 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2826417654251617693	0 16 24 40 70 94 108 148 156 196 210 234 264 280 288 304	-1592511576274
TPT(14)	2826418113591577187	0 2 60 62 90 92 102 104 132 134 144 146 210 212	-1133171616780
SPT(16)	2826418393515410411	0 48 78 90 116 120 152 200 288 336 368 372 398 410 440 488	-853247783556
SPT(16)	2826418454977722061	0 6 36 42 106 120 160 172 186 198 238 252 316 322 352 358	-791785471906
SPT(16)	2826418514151925621	0 10 36 40 60 102 112 120 178 186 196 238 258 262 288 298	-732611268346
SPT(16)	2826419017855264187	0 44 56 74 90 116 126 140 156 170 180 206 222 240 252 296	-228907929780
SPT(16)	2826419351510879479	0 34 60 112 124 150 154 202 222 270 274 300 312 364 390 424	104747685512
TPT(14)	2826420356557003649	0 2 60 62 78 80 102 104 120 122 342 344 462 464	1109793809682
SPT(16)	2826421234820494303	0 24 46 48 58 90 100 108 136 144 154 186 196 198 220 244	1988057300336
STPT(10)	2826421722994282667	0 2 90 92 102 104 114 116 204 206	2476231088700
SPT(16)	2826421988547849247	0 12 64 112 136 142 150 156 160 166 174 180 204 252 304 316	2741784655280