Prime p₀= 2501640931932186071 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 40 2 16 2 22 2 58 2 64 2 (?)
a_n: 0 2 66 68 108 110 126 128 150 152 210 212 276 278
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: 278
Found by: JayPi
db: batch=82, k=14, 64 40 16 22 58 64

SPT(16)	2501639213268968609	0 20 44 50 104 132 182 222 302 342 392 420 474 480 504 524	-1718663217462
SPT(18)	2501639272019396129	0 8 12 24 48 62 78 98 108 134 144 164 180 194 218 230 234 242	-1659912789942
SPT(16)	2501639272280260727	0 30 42 86 90 104 110 146 180 216 222 236 240 284 296 326	-1659651925344
TPT(14)	2501639446175788181	0 2 30 32 156 158 168 170 198 200 258 260 306 308	-1485756397890
STPT(10)	2501639652662609801	0 2 156 158 198 200 240 242 396 398	-1279269576270
TPT(14)	2501640608085151217	0 2 42 44 144 146 150 152 192 194 222 224 234 236	-323847034854
SPT(16)	2501640969164501993	0 24 56 80 90 104 156 164 180 188 240 254 264 288 320 344	37232315922
STPT(10)	2501641497314359019	0 2 42 44 90 92 138 140 180 182	565382172948
STPT(10)	2501641689302570987	0 2 30 32 42 44 54 56 84 86	757370384916
STPT(10)	2501642011803422987	0 2 30 32 72 74 114 116 144 146	1079871236916
SPT(16)	2501643030313642421	0 8 50 56 126 152 188 206 222 240 276 302 372 378 420 428	2098381456350