Prime p₀= 2445727353030928931 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 28 2 58 2 22 2 16 2 (?)
a_n: 0 2 30 32 66 68 96 98 156 158 180 182 198 200
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: 200
Found by: JayPi
db: batch=82, k=14, 28 34 28 58 22 16

SPT(16)	2445726246503712749	0 12 14 42 54 62 120 170 174 224 282 290 302 330 332 344	-1106527216182
STPT(10)	2445726461038981229	0 2 48 50 90 92 132 134 180 182	-891991947702
SPT(16)	2445726540535765849	0 22 40 42 84 90 118 190 222 294 322 328 370 372 390 412	-812495163082
SPT(16)	2445726876831501979	0 18 84 100 108 130 174 202 210 238 282 304 312 328 394 412	-476199426952
STPT(10)	2445727306513843067	0 2 42 44 72 74 102 104 144 146	-46517085864
SPT(16)	2445727307491568389	0 42 70 120 168 204 238 274 318 354 388 424 472 522 550 592	-45539360542
STPT(10)	2445728028137118467	0 2 30 32 42 44 54 56 84 86	675106189536
STPT(10)	2445728063864994407	0 2 30 32 72 74 114 116 144 146	710834065476
STPT(10)	2445728667801579227	0 2 12 14 42 44 72 74 84 86	1314770650296
STPT(10)	2445728685974994347	0 2 54 56 72 74 90 92 144 146	1332944065416
STPT(10)	2445729790431034967	0 2 30 32 72 74 114 116 144 146	2437400106036