Prime p₀= 848635927770463487 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 22 2 58 2 4 2 28 2 (?)
a_n: 0 2 42 44 90 92 114 116 174 176 180 182 210 212
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: 212
Found by: Vitalii Koshura
db: batch=73, k=14, 40 46 22 58 4 28

SPT(16)	848634044223724097	0 6 56 66 72 104 114 120 176 182 192 224 230 240 290 296	-1883546739390
STPT(10)	848634102029153351	0 2 6 8 18 20 30 32 36 38	-1825741310136
SPT(16)	848634406474947607	0 16 34 42 60 84 120 132 184 196 232 256 274 282 300 316	-1521295515880
TPT(14)	848635035197050721	0 2 6 8 48 50 90 92 168 170 180 182 306 308	-892573412766
STPT(10)	848635684602025667	0 2 12 14 42 44 72 74 84 86	-243168437820
SPT(16)	848635708512750527	0 26 66 74 116 120 132 150 176 194 206 210 252 260 300 326	-219257712960
SPT(16)	848636409322321471	0 18 22 40 88 96 106 112 186 192 202 210 258 276 280 298	481551857984
STPT(10)	848636543021885867	0 2 30 32 42 44 54 56 84 86	615251422380
SPT(16)	848636992182462113	0 8 56 66 86 114 116 140 144 168 170 198 218 228 276 284	1064411998626
TPT(14)	848636996978979137	0 2 54 56 180 182 282 284 354 356 360 362 402 404	1069208515650
STPT(12)	848637018016051037	0 2 42 44 54 56 90 92 102 104 144 146	1090245587550