Prime p₀= 781597320605893397 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 22 2 4 2 130 2 16 2 28 2 (?)
a_n: 0 2 60 62 84 86 90 92 222 224 240 242 270 272
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: 272
Found by: jozef j
db: batch=73, k=14, 58 22 4 130 16 28

SPT(16)	781595716285074073	0 18 36 88 126 138 154 160 174 180 196 208 246 298 316 334	-1604320819324
SPT(18)	781596015438061771	0 10 36 72 112 138 156 168 178 180 190 202 220 246 286 322 348 358	-1305167831626
SPT(16)	781596033156553211	0 18 20 48 56 60 78 86 90 98 116 120 128 156 158 176	-1287449340186
STPT(10)	781596801525200429	0 2 18 20 30 32 42 44 60 62	-519080692968
STPT(10)	781596981669838889	0 2 42 44 60 62 78 80 120 122	-338936054508
STPT(10)	781597106685697187	0 2 12 14 42 44 72 74 84 86	-213920196210
SPT(16)	781597397768972251	0 42 46 60 78 108 112 132 166 186 190 220 238 252 256 298	77163078854
STPT(10)	781597787206507499	0 2 48 50 90 92 132 134 180 182	466600614102
SPT(16)	781597791028612709	0 8 42 54 78 128 132 134 138 140 144 194 218 230 264 272	470422719312
SPT(16)	781597895956850279	0 30 32 38 48 72 108 128 294 314 350 374 384 390 392 422	575350956882
STPT(10)	781598188153458857	0 2 30 32 42 44 54 56 84 86	867547565460