Prime p₀= 2441345500469525849 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 40 2 4 2 28 2 10 2 (?)
a_n: 0 2 78 80 90 92 132 134 138 140 168 170 180 182
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: 182
Found by: JayPi
db: batch=82, k=14, 76 10 40 4 28 10

SPT(16)	2441344244257144717	0 12 46 142 190 204 310 322 324 336 442 456 504 600 634 646	-1256212381132
TPT(14)	2441344270442698601	0 2 78 80 138 140 246 248 336 338 360 362 390 392	-1230026827248
TPT(14)	2441344816616854409	0 2 18 20 30 32 48 50 60 62 162 164 252 254	-683852671440
SPT(16)	2441345014957683101	0 18 38 60 72 108 128 152 198 222 242 278 290 312 332 350	-485511842748
STPT(10)	2441345286683372981	0 2 6 8 18 20 30 32 36 38	-213786152868
STPT(10)	2441345451433575809	0 2 12 14 90 92 168 170 180 182	-49035950040
SPT(16)	2441345515322566777	0 4 40 72 112 130 144 150 184 190 204 222 262 294 330 334	14853040928
STPT(10)	2441345598460080197	0 2 54 56 72 74 90 92 144 146	97990554348
STPT(10)	2441345811709130111	0 2 30 32 60 62 90 92 120 122	311239604262
SPT(16)	2441345840139043379	0 2 54 78 92 110 122 132 170 180 192 210 224 248 300 302	339669517530
STPT(10)	2441345928388590647	0 2 54 56 72 74 90 92 144 146	427919064798