Prime p₀= 3014851506002264111 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 58 2 178 2 16 2 22 2 28 2 (?)
a_n: 0 2 78 80 138 140 318 320 336 338 360 362 390 392
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: 392
Found by: Alnitak2019
db: batch=82, k=14, 76 58 178 16 22 28

SPT(16)	3014849942422336663	0 66 108 124 126 150 166 178 186 198 214 238 240 256 298 364	-1563579927448
SPT(16)	3014849971387240643	0 48 56 98 128 140 150 194 210 254 264 276 306 348 356 404	-1534615023468
SPT(16)	3014850024805567567	0 10 16 24 40 54 66 76 90 100 112 126 142 150 156 166	-1481196696544
STPT(10)	3014850749740090487	0 2 30 32 72 74 114 116 144 146	-756262173624
STPT(10)	3014851162909869431	0 2 36 38 78 80 120 122 156 158	-343092394680
SPT(16)	3014851332523872623	0 8 18 36 48 96 138 140 264 266 308 356 368 386 396 404	-173478391488
SPT(16)	3014852311792968047	0 42 86 120 126 146 156 162 170 176 186 206 212 246 290 332	805790703936
SPT(16)	3014852582191743467	0 6 74 126 144 170 174 186 194 206 210 236 254 306 374 380	1076189479356
SPT(16)	3014852608983868591	0 16 58 66 72 102 138 222 226 310 346 376 382 390 432 448	1102981604480
SPT(16)	3014852667271979089	0 12 52 54 64 70 78 114 118 154 162 168 178 180 220 232	1161269714978
SPT(16)	3014853072949294961	0 26 108 132 146 168 222 228 230 236 290 312 326 350 432 458	1566947030850