Prime p₀= 1258200587243160107 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: vaughan
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1258199103430986583	0 10 16 54 66 70 84 100 150 166 180 184 196 234 240 250	-1483812173524
TPT(14)	1258199338591652579	0 2 12 14 42 44 108 110 150 152 168 170 180 182	-1248651507528
SPT(16)	1258199437658543417	0 44 72 92 120 162 176 186 230 240 254 296 324 344 372 416	-1149584616690
SPT(18)	1258199461098741977	0 36 44 62 96 102 144 156 176 180 200 212 254 260 294 312 320 356	-1126144418130
STPT(10)	1258199602638012911	0 2 30 32 60 62 90 92 120 122	-984605147196
STPT(10)	1258200299633437211	0 2 6 8 18 20 30 32 36 38	-287609722896
STPT(10)	1258200600797807267	0 2 12 14 42 44 72 74 84 86	13554647160
SPT(16)	1258200800742299591	0 2 56 60 86 90 126 132 170 176 212 216 242 246 300 302	213499139484
SPT(16)	1258201403359737167	0 14 44 56 86 90 132 156 200 224 266 270 300 312 342 356	816116577060
SPT(16)	1258201517339400091	0 12 30 40 52 90 100 118 132 150 160 198 210 220 238 250	930096239984
STPT(10)	1258201574045230481	0 2 6 8 18 20 30 32 36 38	986802070374