Prime p₀= 517293451834247069 starts a Symmetric tuple of 14 consecutive primes, which form 7 twin primes (STPT).
d_n: 0 2 16 2 22 2 16 2 16 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 60 62 78 80 102 104 120 122
All 14 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: scrap
db: batch=71, k=14, 2 16 2 22 2 16 2

SPT(14)	517293342905655131	0 12 30 32 56 72 102 110 140 156 180 182 200 212	-108928591938
SPT(14)	517293353283913649	0 24 72 102 108 122 128 204 210 224 230 260 308 332	-98550333420
SPT(14)	517293357673116551	0 8 48 50 126 140 150 158 168 182 258 260 300 308	-94161130518
SPT(14)	517293360054563243	0 26 30 84 90 120 144 170 194 224 230 284 288 314	-91779683826
SPT(14)	517293419234209931	0 20 102 108 126 140 150 218 228 242 260 266 348 368	-32600037138
SPT(14)	517293435940647637	0 24 60 64 82 94 126 130 162 174 192 196 232 256	-15893599432
SPT(14)	517293451834247069	0 2 18 20 42 44 60 62 78 80 102 104 120 122	0
TPT(14)	517293451834247069	0 2 18 20 42 44 60 62 78 80 102 104 120 122	0
SPT(14)	517293455295138943	0 64 66 70 84 136 148 156 168 220 234 238 240 304	3460891874
SPT(14)	517293482492046971	0 42 60 68 78 126 132 146 152 200 210 218 236 278	30657799902
SPT(14)	517293486476205133	0 18 30 66 100 114 126 178 190 204 238 274 286 304	34641958064