Prime p₀= 1300556939024140079 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Cruncher Pete
db: batch=77, k=10, 2 16 2 40 2

SPT(13)	1300555918064228347	0 12 30 90 96 126 156 186 216 222 282 300 312	-1020959911732
SPT(16)	1300556257106099503	0 4 6 16 24 46 66 118 336 388 408 430 438 448 450 454	-681918040576
TPT(14)	1300556514181092359	0 2 42 44 72 74 162 164 198 200 228 230 270 272	-424843047720
SPT(16)	1300556718434585141	0 60 90 110 126 140 158 168 200 210 228 242 258 278 308 368	-220589554938
STPT(10)	1300556821516726517	0 2 30 32 102 104 174 176 204 206	-117507413562
STPT(10)	1300556834507214041	0 2 6 8 18 20 30 32 36 38	-104516926038
SPT(16)	1300557010992058789	0 40 114 120 172 184 204 210 244 250 270 282 334 340 414 454	71967918710
STPT(10)	1300557398629027529	0 2 12 14 90 92 168 170 180 182	459604887450
STPT(10)	1300557443524037729	0 2 18 20 30 32 42 44 60 62	504499897650
SPT(16)	1300557541478550713	0 8 14 36 44 50 66 86 108 128 144 150 158 180 186 194	602454410634
STPT(10)	1300558676544999491	0 2 6 8 48 50 90 92 96 98	1737520859412