Prime p₀= 2444658435166627109 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 58 2 232 2 34 2 52 2 28 2 (?)
a_n: 0 2 48 50 108 110 342 344 378 380 432 434 462 464
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: 464
Found by: JayPi
db: batch=82, k=14, 46 58 232 34 52 28

SPT(16)	2444656672982091947	0 12 14 26 42 56 120 144 242 266 330 344 360 372 374 386	-1762184535162
SPT(16)	2444656915632253313	0 54 80 84 140 150 194 200 210 216 260 270 326 330 356 410	-1519534373796
STPT(10)	2444657579386544549	0 2 18 20 30 32 42 44 60 62	-855780082560
STPT(10)	2444657809959870677	0 2 42 44 72 74 102 104 144 146	-625206756432
SPT(16)	2444658092407145977	0 36 40 42 60 66 82 84 172 174 190 196 214 216 220 256	-342759481132
SPT(16)	2444658411949911943	0 4 34 78 126 130 144 148 216 220 234 238 286 330 360 364	-23216715166
SPT(16)	2444658437058694039	0 18 42 52 94 124 130 150 172 192 198 228 270 280 304 322	1892066930
STPT(10)	2444659129527873239	0 2 42 44 60 62 78 80 120 122	694361246130
SPT(16)	2444659134069418493	0 24 90 108 126 140 174 198 206 230 264 278 296 314 380 404	698902791384
SPT(16)	2444659158613934677	0 70 136 154 184 220 246 252 304 310 336 372 402 420 486 556	723447307568
SPT(16)	2444659371235044349	0 22 24 70 78 124 138 144 148 154 168 214 222 268 270 292	936068417240