Prime p₀= 2693692909751760491 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 16 2 40 2 10 2 16 2 (?)
a_n: 0 2 78 80 108 110 126 128 168 170 180 182 198 200
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: 200
Found by: Coleslaw
db: batch=82, k=14, 76 28 16 40 10 16

SPT(16)	2693692327164953113	0 10 54 114 124 126 138 178 216 256 268 270 280 340 384 394	-582586807378
STPT(10)	2693692469783304959	0 2 12 14 30 32 48 50 60 62	-439968455532
SPT(16)	2693692753134859283	0 8 56 68 78 80 90 140 246 296 306 308 318 330 378 386	-156616901208
STPT(10)	2693692799222423039	0 2 18 20 30 32 42 44 60 62	-110529337452
STPT(10)	2693692815127279829	0 2 42 44 90 92 138 140 180 182	-94624480662
SPT(16)	2693692900547593237	0 12 34 76 82 100 156 210 226 280 336 354 360 402 424 436	-9204167254
TPT(14)	2693692924767724109	0 2 42 44 60 62 150 152 168 170 198 200 228 230	15015963618
SPT(16)	2693693313371503679	0 14 38 60 80 98 158 162 230 234 294 312 332 354 378 392	403619743188
STPT(10)	2693693503103582669	0 2 18 20 30 32 42 44 60 62	593351822178
SPT(16)	2693693595743700191	0 38 50 90 98 102 108 146 162 200 206 210 218 258 270 308	685991939700
TPT(14)	2693693815488348731	0 2 48 50 60 62 90 92 156 158 210 212 240 242	905736588240