Prime p₀= 788106218401961909 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 10 2 64 2 70 2 40 2 4 2 (?)
a_n: 0 2 90 92 102 104 168 170 240 242 282 284 288 290
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: 290
Found by: [SG]FX
db: batch=73, k=14, 88 10 64 70 40 4

SPT(16)	788104855911261671	0 98 126 146 150 168 180 188 300 308 320 338 342 362 390 488	-1362490700238
STPT(10)	788105005091536661	0 2 156 158 198 200 240 242 396 398	-1213310425248
STPT(10)	788105308958807417	0 2 30 32 42 44 54 56 84 86	-909443154492
STPT(10)	788105986446803291	0 2 36 38 78 80 120 122 156 158	-231955158618
SPT(16)	788105986803148967	0 50 62 72 90 144 150 170 204 224 230 284 302 312 324 374	-231598812942
STPT(10)	788106053832883967	0 2 24 26 42 44 60 62 84 86	-164569077942
SPT(18)	788106442901046781	0 22 28 30 42 46 58 72 78 130 136 150 162 166 178 180 186 208	224499084872
SPT(16)	788106526218887143	0 10 16 24 30 60 64 90 130 156 160 190 196 204 210 220	307816925234
SPT(16)	788106669557401421	0 2 8 56 86 128 152 170 258 276 300 342 372 420 426 428	451155439512
SPT(16)	788106743658642313	0 10 36 58 100 148 184 240 244 300 336 384 426 448 474 484	525256680404
SPT(16)	788106763265300009	0 14 60 68 98 182 192 200 222 230 240 324 354 362 408 422	544863338100