Prime p₀= 788936445441742319 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 4 2 40 2 70 2 208 2 (?)
a_n: 0 2 12 14 72 74 78 80 120 122 192 194 402 404
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: 404
Found by: [SG]FX
db: batch=73, k=14, 10 58 4 40 70 208

STPT(10)	788935598729933951	0 2 6 8 18 20 30 32 36 38	-846711808368
SPT(16)	788936001623006483	0 26 56 108 120 134 140 164 180 204 210 224 236 288 318 344	-443818735836
SPT(16)	788936202189607391	0 8 38 98 132 138 188 192 206 210 260 266 300 360 390 398	-243252134928
SPT(16)	788936331669802009	0 12 18 42 52 72 124 144 178 198 250 270 280 304 310 322	-113771940310
SPT(18)	788936425820692313	0 68 128 134 138 140 234 258 300 338 380 404 498 500 504 510 570 638	-19621050006
STPT(10)	788936444987918327	0 2 60 62 102 104 144 146 204 206	-453823992
SPT(16)	788936515240543441	0 10 88 90 106 118 136 156 232 252 270 282 298 300 378 388	69798801122
SPT(16)	788936699309992063	0 28 48 88 130 136 138 150 154 166 168 174 216 256 276 304	253868249744
SPT(16)	788937038802957071	0 18 32 56 102 110 128 158 180 210 228 236 282 306 320 338	593361214752
SPT(16)	788937214219615319	0 8 42 60 68 102 108 110 132 134 140 174 182 200 234 242	768777873000
STPT(10)	788937530733770027	0 2 30 32 42 44 54 56 84 86	1085292027708