Prime p₀= 1242719338242251921 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 202 2 16 2 10 2 94 2 28 2 (?)
a_n: 0 2 6 8 210 212 228 230 240 242 336 338 366 368
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: 368
Found by: Cruncher Pete
db: batch=77, k=14, 4 202 16 10 94 28

STPT(10)	1242718243315595771	0 2 6 8 48 50 90 92 96 98	-1094926656150
STPT(10)	1242718339548367457	0 2 12 14 42 44 72 74 84 86	-998693884464
SPT(16)	1242718563173135957	0 44 80 86 96 104 164 242 264 342 402 410 420 426 462 506	-775069115964
SPT(16)	1242718793224567163	0 14 38 66 114 116 120 128 156 164 168 170 218 246 270 284	-545017684758
SPT(16)	1242718934687164817	0 12 56 84 156 164 200 204 242 246 282 290 362 390 434 446	-403555087104
STPT(12)	1242719180986915529	0 2 30 32 42 44 60 62 72 74 102 104	-157255336392
STPT(10)	1242719530780381397	0 2 42 44 72 74 102 104 144 146	192538129476
SPT(16)	1242719544817525903	0 18 34 46 66 84 100 130 174 204 220 238 258 270 286 304	206575273982
SPT(16)	1242719613584973481	0 6 18 58 72 102 118 132 136 150 166 196 210 250 262 268	275342721560
TPT(14)	1242719916613883837	0 2 24 26 54 56 84 86 120 122 162 164 180 182	578371631916
SPT(16)	1242719918332998481	0 28 48 82 132 148 160 168 172 180 192 208 258 292 312 340	580090746560