Prime p₀= 851689301536728131 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 22 2 16 2 (?)
a_n: 0 2 36 38 66 68 78 80 96 98 120 122 138 140
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: 140
Found by: RFGuy_KCCO
db: batch=73, k=14, 34 28 10 16 22 16

STPT(10)	851688525431168699	0 2 138 140 180 182 222 224 360 362	-776105559432
STPT(10)	851688550354210097	0 2 12 14 42 44 72 74 84 86	-751182518034
SPT(16)	851688759912880861	0 60 70 88 102 142 208 222 226 240 306 346 360 378 388 448	-541623847270
SPT(16)	851688962684656223	0 18 24 30 50 66 116 134 150 168 218 234 254 260 266 284	-338852071908
SPT(16)	851689010873291641	0 10 22 36 40 120 130 142 150 162 172 252 256 270 282 292	-290663436490
STPT(10)	851689030867862657	0 2 30 32 42 44 54 56 84 86	-270668865474
SPT(16)	851689419610802321	0 38 66 68 72 90 92 212 216 336 338 356 360 362 390 428	118074074190
SPT(16)	851689891573257631	0 70 76 88 90 112 202 258 280 336 426 448 450 462 468 538	590036529500
SPT(16)	851690000925675193	0 6 16 64 78 84 94 150 154 210 220 226 240 288 298 304	699388947062
STPT(10)	851690327467387589	0 2 18 20 30 32 42 44 60 62	1025930659458
TPT(14)	851690521535905397	0 2 24 26 90 92 210 212 294 296 360 362 390 392	1219999177266