Prime p₀= 787724729658446777 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 70 2 10 2 88 2 4 2 70 2 (?)
a_n: 0 2 150 152 222 224 234 236 324 326 330 332 402 404
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: 404
Found by: [SG]FX
db: batch=73, k=14, 148 70 10 88 4 70

STPT(10)	787723882247799851	0 2 6 8 48 50 90 92 96 98	-847410646926
STPT(10)	787723932741470897	0 2 42 44 72 74 102 104 144 146	-796916975880
SPT(16)	787724127672824033	0 48 54 138 150 156 158 164 300 306 308 314 326 410 416 464	-601985622744
SPT(16)	787724141326007339	0 2 54 72 80 104 152 164 258 270 318 342 350 368 420 422	-588332439438
STPT(10)	787724406083327861	0 2 36 38 78 80 120 122 156 158	-323575118916
SPT(16)	787724423665016843	0 18 26 56 84 90 104 126 158 180 194 200 228 258 266 284	-305993429934
SPT(16)	787725119941936483	0 16 24 114 124 126 136 138 256 258 268 270 280 370 378 394	390283489706
SPT(16)	787725197035936109	0 32 38 44 62 74 98 108 164 174 198 210 228 234 240 272	467377489332
SPT(16)	787725235429189093	0 40 54 66 144 210 234 270 274 310 334 400 478 490 504 544	505770742316
SPT(16)	787725506286381601	0 42 168 180 198 208 220 276 352 408 420 430 448 460 586 628	776627934824
SPT(20)	787725535880723711	0 6 32 36 50 78 90 108 126 146 162 182 200 218 230 258 272 276 302 308	806222276934