Prime p₀= 2337062750043387761 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 4 2 28 2 232 2 124 2 (?)
a_n: 0 2 48 50 90 92 96 98 126 128 360 362 486 488
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: 488
Found by: Orange Kid
db: batch=81, k=14, 46 40 4 28 232 124

SPT(16)	2337060875320419317	0 20 24 42 44 56 116 122 234 240 300 312 314 332 336 356	-1874722968444
SPT(16)	2337061043993182777	0 22 30 64 72 90 162 180 184 202 274 292 300 334 342 364	-1706050204984
STPT(10)	2337061293616063709	0 2 30 32 60 62 90 92 120 122	-1456427324052
STPT(10)	2337061308161276831	0 2 36 38 78 80 120 122 156 158	-1441882110930
SPT(16)	2337062147207982407	0 12 56 80 104 110 134 152 204 222 246 252 276 300 344 356	-602835405354
SPT(16)	2337062224854902023	0 6 36 40 64 66 70 94 150 174 178 180 204 208 238 244	-525188485738
SPT(16)	2337062986147787327	0 2 6 14 20 50 110 212 264 366 426 456 462 470 474 476	236104399566
SPT(16)	2337063217920981829	0 4 48 60 90 112 154 198 214 258 300 322 352 364 408 412	467877594068
STPT(10)	2337064214797620569	0 2 18 20 30 32 42 44 60 62	1464754232808
STPT(10)	2337064679980319657	0 2 30 32 42 44 54 56 84 86	1929936931896
STPT(10)	2337064724932701497	0 2 24 26 42 44 60 62 84 86	1974889313736