Prime p₀= 2239272186146319419 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 88 2 28 2 106 2 10 2 16 2 (?)
a_n: 0 2 12 14 102 104 132 134 240 242 252 254 270 272
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: 272
Found by: Landjunge
db: batch=81, k=14, 10 88 28 106 10 16

SPT(16)	2239271421614125831	0 6 30 72 78 100 106 126 142 162 168 190 196 238 262 268	-764532193588
SPT(16)	2239271516619206921	0 20 26 36 60 66 96 150 218 272 302 308 332 342 348 368	-669527112498
STPT(12)	2239271854438687667	0 2 42 44 54 56 240 242 252 254 294 296	-331707631752
SPT(16)	2239271891663326279	0 28 42 58 88 100 102 114 118 130 132 144 174 190 204 232	-294482993140
SPT(16)	2239271924836981019	0 14 30 32 44 60 84 182 252 350 374 390 402 404 420 434	-261309338400
SPT(16)	2239272183669666991	0 28 42 48 66 108 138 192 196 250 280 322 340 346 360 388	-2476652428
STPT(10)	2239272750612870059	0 2 42 44 90 92 138 140 180 182	564466550640
SPT(16)	2239272752344974953	0 24 38 80 104 120 140 158 276 294 314 330 354 396 410 434	566198655534
SPT(16)	2239273378727208199	0 22 48 60 70 78 88 102 178 192 202 210 220 232 258 280	1192580888780
STPT(10)	2239273492755337037	0 2 24 26 42 44 60 62 84 86	1306609017618
STPT(10)	2239273940727965747	0 2 60 62 72 74 84 86 144 146	1754581646328