Prime p₀= 2586214300613780489 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 40 2 46 2 76 2 22 2 (?)
a_n: 0 2 42 44 120 122 162 164 210 212 288 290 312 314
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: 314
Found by: RFGuy_KCCO
db: batch=82, k=14, 40 76 40 46 76 22

SPT(16)	2586213112712424067	0 10 22 42 64 70 90 124 132 166 186 192 214 234 246 256	-1187901356422
TPT(14)	2586213366599218469	0 2 12 14 78 80 240 242 252 254 378 380 462 464	-934014562020
TPT(14)	2586214146222075911	0 2 36 38 66 68 78 80 90 92 120 122 168 170	-154391704578
STPT(10)	2586214146222075947	0 2 30 32 42 44 54 56 84 86	-154391704542
TPT(16)	2586214247989104377	0 2 54 56 84 86 162 164 210 212 462 464 492 494 582 584	-52624676112
STPT(10)	2586214250648752187	0 2 90 92 102 104 114 116 204 206	-49965028302
STPT(10)	2586214647879816431	0 2 30 32 78 80 126 128 156 158	347266035942
STPT(10)	2586215355455157197	0 2 90 92 102 104 114 116 204 206	1054841376708
SPT(16)	2586215693667797083	0 18 40 46 88 126 156 166 258 268 298 336 378 384 406 424	1393054016594
SPT(16)	2586215718475421401	0 28 48 70 76 88 102 118 180 196 210 222 228 250 270 298	1417861640912
TPT(14)	2586215828894663417	0 2 12 14 180 182 210 212 240 242 282 284 390 392	1528280882928