Prime p₀= 2336196878266589549 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 250 2 28 2 16 2 22 2 (?)
a_n: 0 2 30 32 78 80 330 332 360 362 378 380 402 404
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: Landjunge
db: batch=81, k=14, 28 46 250 28 16 22

SPT(16)	2336196016529264303	0 8 18 60 84 134 150 170 198 218 234 284 308 350 360 368	-861737325246
SPT(16)	2336196106123995593	0 38 78 86 134 140 168 176 288 296 324 330 378 386 426 464	-772142593956
SPT(18)	2336196229495791799	0 30 64 70 100 114 132 142 208 234 300 310 328 342 372 378 412 442	-648770797750
SPT(16)	2336196380556317593	0 10 18 28 54 66 70 90 94 114 118 130 156 166 174 184	-497710271956
SPT(20)	2336196504202328827	0 22 30 34 42 72 96 112 160 180 226 246 294 310 334 364 372 376 384 406	-374064260722
STPT(10)	2336196559687260119	0 2 12 14 90 92 168 170 180 182	-318579329430
STPT(10)	2336196953324465237	0 2 30 32 42 44 54 56 84 86	75057875688
STPT(10)	2336197293677060897	0 2 30 32 72 74 114 116 144 146	415410471348
SPT(16)	2336197305025053859	0 4 12 22 30 54 60 70 72 82 88 112 120 130 138 142	426758464310
SPT(16)	2336197311954215009	0 2 20 24 42 60 68 104 108 144 152 170 188 192 210 212	433687625460
SPT(16)	2336197463338903471	0 48 52 66 72 82 126 130 138 142 186 196 202 216 220 268	585072313922