Prime p₀= 107798416996673069 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: vaughan
db: batch=67, k=14, 2 16 2 22 2 16 2

SPT(14)	107798365246787191	0 28 58 60 72 138 162 166 190 256 268 270 300 328	-51749885878
SPT(14)	107798366572702109	0 50 80 90 98 104 128 174 198 204 212 222 252 302	-50423970960
TPT(12)	107798392697441231	0 2 126 128 198 200 210 212 240 242 258 260	-24299231838
SPT(16)	107798395598477273	0 20 54 86 98 114 140 144 170 174 200 216 228 260 294 314	-21398195796
SPT(16)	107798398678506869	0 2 12 54 60 90 102 144 170 212 224 254 260 302 312 314	-18318166200
SPT(14)	107798412884331163	0 18 36 64 66 78 124 150 196 208 210 238 256 274	-4112341906
SPT(14)	107798416996673069	0 2 18 20 42 44 60 62 78 80 102 104 120 122	0
TPT(14)	107798416996673069	0 2 18 20 42 44 60 62 78 80 102 104 120 122	0
SPT(14)	107798420657411447	0 54 62 84 96 104 152 174 222 230 242 264 272 326	3660738378
SPT(14)	107798427264058243	0 66 114 126 168 186 196 198 208 226 268 280 328 394	10267385174
TPT(12)	107798446495109477	0 2 30 32 90 92 132 134 162 164 174 176	29498436408