Prime p₀= 2397155434490735837 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 22 2 28 2 64 2 28 2 58 2 (?)
a_n: 0 2 120 122 144 146 174 176 240 242 270 272 330 332
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: 332
Found by: Josemi
db: batch=81, k=14, 118 22 28 64 28 58

SPT(16)	2397154539133552229	0 20 62 78 120 122 128 132 170 174 180 182 224 240 282 302	-895357183608
STPT(10)	2397154574956222517	0 2 72 74 102 104 132 134 204 206	-859534513320
SPT(16)	2397154844576168741	0 8 50 96 120 126 180 182 306 308 362 368 392 438 480 488	-589914567096
SPT(16)	2397154858823794009	0 42 100 120 124 132 142 234 250 342 352 360 364 384 442 484	-575666941828
SPT(16)	2397155253309035881	0 16 60 70 82 88 100 132 166 198 210 216 228 238 282 298	-181181699956
SPT(16)	2397155318076822467	0 2 26 84 86 132 140 152 294 306 314 360 362 420 444 446	-116413913370
SPT(16)	2397155536856665511	0 12 50 78 92 138 198 212 246 260 320 366 380 408 446 458	102365929674
STPT(10)	2397155722664922617	0 2 30 32 72 74 114 116 144 146	288174186780
STPT(10)	2397156041951692937	0 2 24 26 42 44 60 62 84 86	607460957100
STPT(10)	2397156139654874711	0 2 36 38 78 80 120 122 156 158	705164138874
STPT(10)	2397156182968867091	0 2 30 32 78 80 126 128 156 158	748478131254