Prime p₀= 1283975682497142137 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: Cruncher Pete
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1283974329258326467	0 10 16 90 130 132 136 142 210 216 220 222 262 336 342 352	-1353238815670
STPT(10)	1283974359219769247	0 2 30 32 60 62 90 92 120 122	-1323277372890
SPT(16)	1283974447274837719	0 4 30 84 100 112 168 192 220 244 300 312 328 382 408 412	-1235222304418
STPT(10)	1283974483549547057	0 2 90 92 102 104 114 116 204 206	-1198947595080
STPT(10)	1283974774000565357	0 2 12 14 42 44 72 74 84 86	-908496576780
SPT(16)	1283975126413979101	0 12 36 60 126 130 160 190 312 342 372 376 442 466 490 502	-556083163036
SPT(16)	1283976272421123179	0 8 12 38 42 84 134 164 348 378 428 470 474 500 504 512	589923981042
STPT(10)	1283976361453272437	0 2 30 32 42 44 54 56 84 86	678956130300
SPT(16)	1283976684834910309	0 18 22 28 34 40 42 48 124 130 132 138 144 150 154 172	1002337768172
SPT(16)	1283977386310243199	0 24 50 92 110 150 152 164 168 180 182 222 240 282 308 332	1703813101062
STPT(10)	1283977542985161767	0 2 12 14 42 44 72 74 84 86	1860488019630