Prime p₀= 2379069258305409599 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 64 2 10 2 76 2 250 2 10 2 (?)
a_n: 0 2 72 74 138 140 150 152 228 230 480 482 492 494
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: 494
Found by: herby44
db: batch=81, k=14, 70 64 10 76 250 10

STPT(10)	2379068238498495221	0 2 108 110 138 140 168 170 276 278	-1019806914378
SPT(16)	2379068324729576699	0 20 30 38 42 48 50 84 128 162 164 170 174 182 192 212	-933575832900
STPT(10)	2379068468319149807	0 2 54 56 72 74 90 92 144 146	-789986259792
SPT(16)	2379068912329365227	0 60 66 90 102 122 126 180 242 296 300 320 332 356 362 422	-345976044372
SPT(16)	2379068975652321559	0 34 102 118 138 162 190 204 298 312 340 364 384 400 468 502	-282653088040
SPT(16)	2379069077187144217	0 22 24 96 144 150 162 184 192 214 226 232 280 352 354 376	-181118265382
SPT(16)	2379069807489970813	0 4 18 30 58 78 84 88 96 100 106 126 154 166 180 184	549184561214
STPT(10)	2379069968731312037	0 2 30 32 42 44 54 56 84 86	710425902438
SPT(16)	2379070340160004159	0 28 40 102 114 120 138 148 204 214 232 238 250 312 324 352	1081854594560
SPT(16)	2379070370086039969	0 48 84 118 138 174 180 202 210 232 238 274 294 328 364 412	1111780630370
SPT(16)	2379070430581242647	0 6 14 42 60 96 104 116 120 132 140 176 194 222 230 236	1172275833048