Prime p₀= 1232796318682371281 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 4 2 58 2 22 2 4 2 40 2 (?)
a_n: 0 2 60 62 66 68 126 128 150 152 156 158 198 200
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: 200
Found by: Skivelitis2
db: batch=77, k=14, 58 4 58 22 4 40

STPT(10)	1232794415430551819	0 2 18 20 30 32 42 44 60 62	-1903251819462
SPT(16)	1232795090908398847	0 4 30 46 60 64 124 144 166 186 246 250 264 280 306 310	-1227773972434
SPT(16)	1232795630864182783	0 30 34 54 94 126 144 154 156 166 184 216 256 276 280 310	-687818188498
TPT(14)	1232796063062167619	0 2 42 44 72 74 162 164 168 170 198 200 210 212	-255620203662
STPT(10)	1232796284395559339	0 2 30 32 120 122 210 212 240 242	-34286811942
SPT(16)	1232796305318658959	0 14 30 50 60 114 132 134 138 140 158 212 222 242 258 272	-13363712322
STPT(10)	1232796374024949047	0 2 12 14 42 44 72 74 84 86	55342577766
SPT(16)	1232796502167797507	0 42 50 66 90 132 162 174 182 194 224 266 290 306 314 356	183485426226
STPT(10)	1232796874324937531	0 2 36 38 78 80 120 122 156 158	555642566250
STPT(10)	1232797037323722881	0 2 6 8 48 50 90 92 96 98	718641351600
SPT(16)	1232797208868401549	0 32 44 90 104 114 140 158 174 192 218 228 242 288 300 332	890186030268