Prime p₀= 998070786146277551 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 52 2 16 2 70 2 34 2 (?)
a_n: 0 2 30 32 66 68 120 122 138 140 210 212 246 248
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: 248
Found by: Theadalus
db: batch=76, k=14, 28 34 52 16 70 34

SPT(16)	998069293072224811	0 40 58 70 100 102 106 120 148 162 166 168 198 210 228 268	-1493074052740
SPT(16)	998069634028059029	0 42 48 72 104 108 110 138 164 192 194 198 230 254 260 302	-1152118218522
STPT(10)	998069808469316081	0 2 36 38 78 80 120 122 156 158	-977676961470
STPT(10)	998069879244675701	0 2 36 38 78 80 120 122 156 158	-906901601850
SPT(16)	998070507920941901	0 12 20 90 98 108 122 218 222 318 332 342 350 420 428 440	-278225335650
SPT(16)	998070664654153933	0 24 36 58 66 78 108 124 150 166 196 208 216 238 250 274	-121492123618
SPT(16)	998070835612220287	0 4 54 60 120 126 130 150 166 186 190 196 256 262 312 316	49465942736
SPT(16)	998070911539418219	0 12 18 20 54 84 110 114 128 132 158 188 222 224 230 242	125393140668
STPT(10)	998070985719647009	0 2 18 20 30 32 42 44 60 62	199573369458
TPT(14)	998071042796199857	0 2 60 62 84 86 90 92 102 104 114 116 144 146	256649922306
SPT(16)	998071149090374903	0 8 26 38 66 68 84 90 194 200 216 218 246 258 276 284	362944097352