Prime p₀= 2806583709739215797 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)	2806582564536862963	0 40 70 76 78 90 106 144 190 228 244 256 258 264 294 334	-1145202352834
TPT(14)	2806582865618148359	0 2 108 110 120 122 138 140 150 152 198 200 240 242	-844121067438
SPT(18)	2806582876900153343	0 48 90 110 116 126 188 198 248 258 308 318 380 390 396 416 458 506	-832839062454
SPT(16)	2806583066054026601	0 12 62 80 116 132 140 146 192 198 206 222 258 276 326 338	-643685189196
SPT(16)	2806583360678794357	0 12 22 34 72 82 96 136 180 220 234 244 282 294 304 316	-349060421440
SPT(16)	2806583578894327613	0 50 56 80 108 120 140 146 168 174 194 206 234 258 264 314	-130844888184
STPT(10)	2806583831243032661	0 2 6 8 18 20 30 32 36 38	121503816864
SPT(16)	2806583969268561553	0 10 30 36 58 64 96 108 196 208 240 246 268 274 294 304	259529345756
SPT(16)	2806584479887516813	0 6 16 88 106 150 160 234 280 354 364 408 426 498 508 514	770148301016
SPT(16)	2806584642239599307	0 36 132 164 176 186 192 206 270 284 290 300 312 344 440 476	932500383510
STPT(10)	2806585385581747697	0 2 12 14 72 74 132 134 144 146	1675842531900