Prime p₀= 1981870761115515311 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 40 2 76 2 10 2 28 2 (?)
a_n: 0 2 30 32 66 68 108 110 186 188 198 200 228 230
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: 230
Found by: Landjunge
db: batch=80, k=14, 28 34 40 76 10 28

SPT(16)	1981869766306468763	0 8 30 44 48 84 96 134 180 218 230 266 270 284 306 314	-994809046548
SPT(16)	1981870112583891631	0 10 48 96 100 106 180 202 366 388 462 468 472 520 558 568	-648531623680
STPT(10)	1981870124216140187	0 2 12 14 42 44 72 74 84 86	-636899375124
SPT(16)	1981870471559828351	0 20 36 60 66 108 132 146 222 236 260 302 308 332 348 368	-289555686960
SPT(16)	1981870610699668061	0 6 8 42 50 80 86 98 150 162 168 198 206 240 242 248	-150415847250
SPT(18)	1981870737335906663	0 56 80 110 204 210 224 264 290 294 320 360 374 380 474 504 528 584	-23779608648
SPT(16)	1981871021459457727	0 36 40 114 124 162 172 196 240 264 274 312 322 396 400 436	260343942416
SPT(16)	1981871302890632833	0 40 58 60 70 84 114 120 148 154 184 198 208 210 228 268	541775117522
STPT(10)	1981871471675815787	0 2 60 62 72 74 84 86 144 146	710560300476
STPT(10)	1981871786880965891	0 2 6 8 18 20 30 32 36 38	1025765450580
SPT(16)	1981872497723849359	0 18 28 52 72 82 100 142 168 210 228 238 258 282 292 310	1736608334048