Prime p₀= 1933944297882582329 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 64 2 70 2 10 2 46 2 (?)
a_n: 0 2 12 14 42 44 108 110 180 182 192 194 240 242
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: 242
Found by: Landjunge
db: batch=80, k=14, 10 28 64 70 10 46

SPT(16)	1933943512249660057	0 42 60 70 102 136 150 154 282 286 300 334 366 376 394 436	-785632922272
STPT(10)	1933943559017329817	0 2 24 26 42 44 60 62 84 86	-738865252512
SPT(16)	1933943592813331111	0 48 52 60 78 106 108 132 166 190 192 220 238 246 250 298	-705069251218
SPT(16)	1933944093704490199	0 12 52 90 100 118 120 132 268 280 282 300 310 348 388 400	-204178092130
SPT(18)	1933944115719774013	0 48 64 70 88 108 118 130 150 154 174 186 196 216 234 240 256 304	-182162808316
TPT(14)	1933944282443009561	0 2 6 8 18 20 60 62 96 98 126 128 156 158	-15439572768
STPT(10)	1933944467369899637	0 2 30 32 102 104 174 176 204 206	169487317308
SPT(16)	1933944702207515983	0 6 30 76 88 90 108 156 280 328 346 348 360 406 430 436	404324933654
STPT(10)	1933944754203926879	0 2 18 20 30 32 42 44 60 62	456321344550
SPT(16)	1933944978845551471	0 16 30 46 66 78 88 142 156 210 220 232 252 268 282 298	680962969142
SPT(16)	1933945017705847847	0 12 26 50 84 86 96 114 122 140 150 152 186 210 224 236	719823265518