Prime p₀= 2571888251865742937 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 94 2 28 2 58 2 10 2 40 2 (?)
a_n: 0 2 54 56 150 152 180 182 240 242 252 254 294 296
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: 296
Found by: RFGuy_KCCO
db: batch=82, k=14, 52 94 28 58 10 40

SPT(16)	2571886307401899217	0 30 52 70 72 132 142 156 190 204 214 274 276 294 316 346	-1944463843720
STPT(10)	2571886596040525991	0 2 78 80 108 110 138 140 216 218	-1655825216946
SPT(16)	2571887014476275141	0 66 122 126 170 192 198 228 230 260 266 288 332 336 392 458	-1237389467796
SPT(16)	2571887634298093763	0 26 56 68 84 98 150 158 186 194 246 260 276 288 318 344	-617567649174
SPT(16)	2571887986078107383	0 18 26 56 66 98 114 198 206 290 306 338 348 378 386 404	-265787635554
SPT(16)	2571888044192514991	0 16 40 42 60 66 102 130 192 220 256 262 280 282 306 322	-207673227946
SPT(16)	2571888767860820203	0 48 60 76 78 96 108 120 136 148 160 178 180 196 208 256	515995077266
TPT(14)	2571888853553442107	0 2 42 44 102 104 144 146 222 224 234 236 240 242	601687699170
SPT(16)	2571888925970090723	0 20 84 104 126 156 164 174 230 240 248 278 300 320 384 404	674104347786
SPT(16)	2571889365481077637	0 4 30 46 136 150 154 156 184 186 190 204 294 310 336 340	1113615334700
STPT(10)	2571889421974613087	0 2 12 14 42 44 72 74 84 86	1170108870150