Prime p₀= 1780876984833763877 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 190 2 58 2 10 2 28 2 16 2 (?)
a_n: 0 2 30 32 222 224 282 284 294 296 324 326 342 344
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: 344
Found by: [AF>Libristes] Dudumomo
db: batch=79, k=14, 28 190 58 10 28 16

SPT(16)	1780874978296333193	0 26 36 50 66 96 126 164 180 218 248 278 294 308 318 344	-2006537430684
STPT(10)	1780875633574644317	0 2 60 62 72 74 84 86 144 146	-1351259119560
SPT(16)	1780875854295665623	0 16 30 46 60 94 138 150 244 256 300 334 348 364 378 394	-1130538098254
SPT(16)	1780876128448546777	0 6 16 30 64 72 82 130 156 204 214 222 256 270 280 286	-856385217100
SPT(16)	1780876612295280631	0 18 52 126 190 192 208 238 270 300 316 318 382 456 490 508	-372538483246
SPT(13)	1780876753950653383	0 36 84 96 126 156 180 204 234 264 276 324 360	-230883110494
TPT(14)	1780877994632564831	0 2 48 50 78 80 210 212 246 248 258 260 330 332	1009798800954
SPT(16)	1780878051660159433	0 28 60 88 106 108 120 168 196 244 256 258 276 304 336 364	1066826395556
SPT(16)	1780878666622050251	0 60 90 92 110 120 182 200 240 258 320 330 348 350 380 440	1681788286374
STPT(10)	1780879214579548331	0 2 96 98 108 110 120 122 216 218	2229745784454
SPT(18)	1780879394355027293	0 6 18 56 60 98 116 126 138 188 200 210 228 266 270 308 320 326	2409521263416