Prime p₀= 3022255911042944591 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 10 2 16 2 142 2 34 2 (?)
a_n: 0 2 36 38 66 68 78 80 96 98 240 242 276 278
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: 278
Found by: JayPi
db: batch=82, k=14, 34 28 10 16 142 34

SPT(16)	3022252723362548989	0 40 42 52 60 82 150 154 228 232 300 322 330 340 342 382	-3187680395602
TPT(14)	3022253176878479249	0 2 138 140 192 194 198 200 210 212 270 272 378 380	-2734164465342
SPT(16)	3022253741857812601	0 10 18 66 112 138 150 216 262 328 340 366 412 460 468 478	-2169185131990
SPT(16)	3022253917446633421	0 18 30 70 90 118 132 168 172 208 222 250 270 310 322 340	-1993596311170
STPT(10)	3022253935108979927	0 2 42 44 72 74 102 104 144 146	-1975933964664
STPT(10)	3022254467293690511	0 2 36 38 78 80 120 122 156 158	-1443749254080
SPT(18)	3022256291538256723	0 16 54 118 126 166 244 264 276 328 340 360 438 478 486 550 588 604	380495312132
STPT(12)	3022256642679451139	0 2 30 32 42 44 240 242 252 254 282 284	731636506548
SPT(16)	3022256829793228171	0 30 58 112 162 166 198 238 240 280 312 316 366 420 448 478	918750283580
SPT(16)	3022256889875693849	0 18 54 84 120 158 170 234 254 318 330 368 404 434 470 488	978832749258
TPT(14)	3022257046411712729	0 2 72 74 90 92 102 104 138 140 168 170 222 224	1135368768138