Prime p₀= 1285926666445113557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: Cruncher Pete
db: batch=77, k=10, 2 10 2 58 2

TPT(14)	1285925163432281789	0 2 30 32 102 104 138 140 180 182 432 434 438 440	-1503012831768
SPT(16)	1285925335181369809	0 82 132 150 154 180 192 198 304 310 322 348 352 370 420 502	-1331263743748
TPT(14)	1285925569488013931	0 2 78 80 96 98 120 122 198 200 240 242 306 308	-1096957099626
STPT(10)	1285925593458040817	0 2 60 62 102 104 144 146 204 206	-1072987072740
SPT(16)	1285925625328721543	0 56 60 104 140 158 174 180 404 410 426 444 480 524 528 584	-1041116392014
SPT(16)	1285925940243153787	0 6 22 30 42 54 76 90 106 120 142 154 166 174 190 196	-726201959770
SPT(16)	1285927327836202201	0 10 22 42 100 126 196 220 252 276 346 372 430 450 462 472	661391088644
SPT(16)	1285927510355188993	0 28 48 54 76 88 130 174 250 294 336 348 370 376 396 424	843910075436
STPT(10)	1285927573443595307	0 2 30 32 42 44 54 56 84 86	906998481750
SPT(16)	1285928323018784671	0 18 52 66 90 100 108 118 210 220 228 238 262 276 310 328	1656573671114
SPT(16)	1285928446602556703	0 6 14 20 44 90 144 146 198 200 254 300 324 330 338 344	1780157443146