Prime p₀= 2658123763000331369 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 58 2 4 2 40 2 70 2 46 2 (?)
a_n: 0 2 102 104 162 164 168 170 210 212 282 284 330 332
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: [SG-FC] hl
db: batch=82, k=14, 100 58 4 40 70 46

SPT(16)	2658122471849277077	0 2 12 32 36 42 50 72 80 102 110 116 120 140 150 152	-1291151054292
SPT(16)	2658122665181723681	0 30 42 60 90 102 116 120 152 156 170 182 212 230 242 272	-1097818607688
STPT(10)	2658122809211290241	0 2 6 8 18 20 30 32 36 38	-953789041128
STPT(10)	2658123084841369427	0 2 42 44 72 74 102 104 144 146	-678158961942
STPT(10)	2658123441129618359	0 2 78 80 120 122 162 164 240 242	-321870713010
SPT(16)	2658123676231297693	0 4 28 84 90 130 136 144 160 168 174 214 220 276 300 304	-86769033676
SPT(16)	2658124416481330409	0 2 30 32 60 68 78 110 270 302 312 320 348 350 378 380	653480999040
STPT(10)	2658124663543006727	0 2 24 26 42 44 60 62 84 86	900542675358
SPT(16)	2658124772217449147	0 2 26 44 72 74 86 144 152 210 222 224 252 270 294 296	1009217117778
STPT(10)	2658124922104543259	0 2 18 20 30 32 42 44 60 62	1159104211890
STPT(10)	2658124933231013357	0 2 42 44 72 74 102 104 144 146	1170230681988