Prime p₀= 854227764894795539 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 58 2 70 2 10 2 28 2 88 2 (?)
a_n: 0 2 78 80 138 140 210 212 222 224 252 254 342 344
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: 344
Found by: marmot
db: batch=73, k=14, 76 58 70 10 28 88

SPT(16)	854226179419659593	0 74 96 150 164 180 186 198 206 218 224 240 254 308 330 404	-1585475135946
SPT(16)	854226520116167767	0 30 66 72 76 100 126 154 192 220 246 270 274 280 316 346	-1244778627772
SPT(16)	854226635968948961	0 12 32 50 96 158 176 180 188 192 210 272 318 336 356 368	-1128925846578
SPT(16)	854226656503469713	0 6 28 34 46 48 78 120 184 226 256 258 270 276 298 304	-1108391325826
TPT(14)	854227395639206669	0 2 78 80 108 110 150 152 210 212 222 224 288 290	-369255588870
STPT(10)	854227415308234997	0 2 12 14 42 44 72 74 84 86	-349586560542
SPT(16)	854227813077844003	0 40 54 94 100 144 196 210 250 264 316 360 366 406 420 460	48183048464
SPT(16)	854227863545955287	0 30 32 44 50 72 116 146 240 270 314 336 342 354 356 386	98651159748
SPT(16)	854227892034719549	0 48 50 54 68 78 84 128 144 188 194 204 218 222 224 272	127139924010
STPT(10)	854227899653747147	0 2 42 44 72 74 102 104 144 146	134758951608
SPT(16)	854228009532660109	0 12 18 28 64 70 84 90 112 118 132 138 174 184 190 202	244637864570