Prime p₀= 2576066386620807257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 58 2 10 2

SPT(16)	2576065151722948673	0 6 86 110 128 204 240 260 264 284 320 396 414 438 518 524	-1234897858584
STPT(10)	2576065329650910827	0 2 30 32 72 74 114 116 144 146	-1056969896430
TPT(14)	2576065378851793259	0 2 30 32 90 92 132 134 168 170 198 200 222 224	-1007769013998
SPT(16)	2576065739802069379	0 12 42 102 124 154 172 174 280 282 300 330 352 412 442 454	-646818737878
STPT(10)	2576065771086448517	0 2 30 32 60 62 90 92 120 122	-615534358740
SPT(16)	2576065805009217683	0 18 54 78 86 114 128 200 204 276 290 318 326 350 386 404	-581611589574
STPT(10)	2576066433340313267	0 2 12 14 72 74 132 134 144 146	46719506010
SPT(16)	2576066512016611049	0 2 50 72 74 98 122 128 204 210 234 258 260 282 330 332	125395803792
STPT(10)	2576066559223579967	0 2 30 32 42 44 54 56 84 86	172602772710
SPT(16)	2576066867314559237	0 56 66 146 176 192 230 234 332 336 374 390 420 500 510 566	480693751980
SPT(16)	2576067089557058737	0 6 52 70 90 96 126 154 162 190 220 226 246 264 310 316	702936251480