Prime p₀= 2581413906014933279 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 88 2 4 2 40 2 70 2 76 2 (?)
a_n: 0 2 42 44 132 134 138 140 180 182 252 254 330 332
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: 332
Found by: RFGuy_KCCO
db: batch=82, k=14, 40 88 4 40 70 76

TPT(14)	2581412381122394399	0 2 30 32 108 110 150 152 180 182 222 224 240 242	-1524892538880
TPT(14)	2581412952477590939	0 2 12 14 30 32 162 164 210 212 222 224 240 242	-953537342340
SPT(16)	2581413094362946793	0 54 56 66 74 80 96 98 186 188 204 210 218 228 230 284	-811651986486
SPT(16)	2581413110063620589	0 8 12 18 38 42 120 150 152 182 260 264 284 290 294 302	-795951312690
STPT(12)	2581413429171121469	0 2 12 14 72 74 78 80 138 140 150 152	-476843811810
STPT(10)	2581413470688398579	0 2 48 50 60 62 72 74 120 122	-435326534700
STPT(10)	2581414009826308157	0 2 12 14 72 74 132 134 144 146	103811374878
SPT(18)	2581414351139302691	0 26 78 102 162 168 242 270 276 302 308 336 410 416 476 500 552 578	445124369412
SPT(16)	2581414734314300909	0 12 50 78 84 90 92 104 168 180 182 188 194 222 260 272	828299367630
STPT(10)	2581415076888248309	0 2 42 44 60 62 78 80 120 122	1170873315030
SPT(16)	2581415182572023839	0 10 28 48 52 70 84 132 160 208 222 240 244 264 282 292	1276557090560