Prime p₀= 761157961935701441 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 4 2 100 2 106 2 70 2 16 2 (?)
a_n: 0 2 60 62 66 68 168 170 276 278 348 350 366 368
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: 368
Found by: gemini8
db: batch=73, k=14, 58 4 100 106 70 16

SPT(16)	761156785403487241	0 40 66 70 82 112 118 126 142 150 156 186 198 202 228 268	-1176532214200
STPT(10)	761156953374264569	0 2 12 14 90 92 168 170 180 182	-1008561436872
SPT(16)	761157345444023951	0 12 26 156 180 210 212 216 272 276 278 308 332 462 476 488	-616491677490
STPT(10)	761157445372624841	0 2 30 32 78 80 126 128 156 158	-516563076600
SPT(16)	761157717237890737	0 6 46 76 84 114 144 156 160 172 202 232 240 270 310 316	-244697810704
STPT(10)	761157838921325147	0 2 30 32 42 44 54 56 84 86	-123014376294
TPT(14)	761158076728032911	0 2 30 32 156 158 168 170 180 182 186 188 198 200	114792331470
SPT(16)	761158316182988363	0 8 24 54 120 134 156 164 180 188 210 224 290 320 336 344	354247286922
SPT(16)	761158452990215989	0 4 90 130 132 168 178 184 228 234 244 280 282 322 408 412	491054514548
TPT(14)	761158473159084641	0 2 168 170 210 212 216 218 300 302 366 368 396 398	511223383200
SPT(16)	761158489323202493	0 54 74 78 80 84 116 134 150 168 200 204 206 210 230 284	527387501052