Prime p₀= 853633527656327981 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 4 2 82 2 106 2 46 2 (?)
a_n: 0 2 78 80 90 92 96 98 180 182 288 290 336 338
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: 338
Found by: RFGuy_KCCO
db: batch=73, k=14, 76 10 4 82 106 46

TPT(14)	853632515836718141	0 2 30 32 66 68 96 98 168 170 186 188 240 242	-1011819609840
SPT(16)	853632800233002469	0 12 54 84 102 108 130 142 150 162 184 190 208 238 280 292	-727423325512
SPT(16)	853632801255436663	0 6 16 54 58 90 108 156 238 286 304 336 340 378 388 394	-726400891318
STPT(10)	853633170779223431	0 2 36 38 78 80 120 122 156 158	-356877104550
STPT(10)	853633288822067207	0 2 24 26 42 44 60 62 84 86	-238834260774
SPT(16)	853633331854533899	0 18 42 114 158 170 204 210 212 218 252 264 308 380 404 422	-195801794082
STPT(10)	853633678910937017	0 2 30 32 60 62 90 92 120 122	151254609036
SPT(16)	853634048967256511	0 50 66 78 86 146 170 192 236 258 282 342 350 362 378 428	521310928530
STPT(10)	853634105927654507	0 2 30 32 42 44 54 56 84 86	578271326526
STPT(10)	853634181662105507	0 2 42 44 72 74 102 104 144 146	654005777526
SPT(16)	853635200151750589	0 18 28 60 88 112 132 138 382 388 408 432 460 492 502 520	1672495422608