Prime p₀= 2401325916387298709 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 22 2 16 2 88 2 16 2 (?)
a_n: 0 2 30 32 48 50 72 74 90 92 180 182 198 200
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 16 22 16 88 16

SPT(16)	2401324087212163331	0 8 50 78 92 102 110 140 180 210 218 228 242 270 312 320	-1829175135378
SPT(13)	2401324352096480333	0 6 48 66 78 96 108 120 138 150 168 210 216	-1564290818376
SPT(16)	2401324394873493149	0 14 60 62 74 78 92 128 144 180 194 198 210 212 258 272	-1521513805560
STPT(10)	2401324895578013771	0 2 36 38 78 80 120 122 156 158	-1020809284938
STPT(10)	2401325567414392259	0 2 12 14 90 92 168 170 180 182	-348972906450
STPT(10)	2401325679594718109	0 2 48 50 60 62 72 74 120 122	-236792580600
STPT(10)	2401326058828231037	0 2 24 26 42 44 60 62 84 86	142440932328
STPT(10)	2401326102294362651	0 2 36 38 168 170 300 302 336 338	185907063942
SPT(16)	2401326226758057239	0 14 32 44 72 102 104 114 170 180 182 212 240 252 270 284	310370758530
SPT(16)	2401326607900340579	0 30 62 90 104 140 144 174 338 368 372 408 422 450 482 512	691513041870
SPT(16)	2401326609324320059	0 18 40 54 64 70 90 154 174 238 258 264 274 288 310 328	692937021350