Prime p₀= 797132259405839099 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 28 2 4 2 58 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 78 80 138 140 150 152
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: 152
Found by: [SG-2W]Kurzer
db: batch=73, k=14, 10 28 28 4 58 10

STPT(10)	797131560006460541	0 2 30 32 78 80 126 128 156 158	-699399378558
SPT(16)	797131651866562171	0 42 90 180 190 196 232 246 262 276 312 318 328 418 466 508	-607539276928
TPT(16)	797131788208740077	0 2 42 44 60 62 90 92 120 122 144 146 162 164 294 296	-471197099022
STPT(10)	797131927226983529	0 2 18 20 30 32 42 44 60 62	-332178855570
TPT(14)	797131946774378387	0 2 42 44 84 86 144 146 300 302 342 344 390 392	-312631460712
SPT(16)	797132089064410261	0 10 12 28 70 78 88 112 138 162 172 180 222 238 240 250	-170341428838
STPT(10)	797132397411584189	0 2 42 44 90 92 138 140 180 182	138005745090
SPT(16)	797132630946109691	0 30 72 132 158 182 198 212 288 302 318 342 368 428 470 500	371540270592
TPT(14)	797132720529901211	0 2 30 32 78 80 96 98 108 110 198 200 210 212	461124062112
TPT(14)	797132790076948847	0 2 12 14 30 32 84 86 240 242 354 356 384 386	530671109748
STPT(10)	797133051003635789	0 2 42 44 60 62 78 80 120 122	791597796690