Prime p₀= 1097354834474612237 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 10 2 46 2 88 2 40 2 (?)
a_n: 0 2 12 14 42 44 54 56 102 104 192 194 234 236
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: 236
Found by: Theadalus
db: batch=76, k=14, 10 28 10 46 88 40

SPT(16)	1097353796359256417	0 44 72 80 102 114 132 170 186 224 242 254 276 284 312 356	-1038115355820
STPT(10)	1097354069703855779	0 2 12 14 30 32 48 50 60 62	-764770756458
SPT(16)	1097354134044130751	0 42 68 90 120 132 182 188 252 258 308 320 350 372 398 440	-700430481486
STPT(10)	1097354469821949497	0 2 12 14 72 74 132 134 144 146	-364652662740
STPT(10)	1097354557469820449	0 2 48 50 60 62 72 74 120 122	-277004791788
SPT(16)	1097354640703807727	0 2 20 24 26 36 80 86 90 96 140 150 152 156 174 176	-193770804510
STPT(10)	1097354939340448037	0 2 12 14 42 44 72 74 84 86	104865835800
SPT(16)	1097354948923474139	0 8 42 68 72 108 110 122 138 150 152 188 192 218 252 260	114448861902
SPT(16)	1097355123874319119	0 54 84 94 118 120 160 168 214 222 262 264 288 298 328 382	289399706882
STPT(10)	1097355357331474907	0 2 30 32 42 44 54 56 84 86	522856862670
SPT(16)	1097355475605185723	0 6 44 56 66 90 104 108 146 150 164 188 198 210 248 254	641130573486