Prime p₀= 1022675861132427869 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 46 2 16 2 10 2 40 2 (?)
a_n: 0 2 12 14 42 44 90 92 108 110 120 122 162 164
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: 164
Found by: Theadalus
db: batch=76, k=14, 10 28 46 16 10 40

SPT(16)	1022674920406657481	0 20 38 80 108 116 126 146 162 182 192 200 228 270 288 308	-940725770388
SPT(16)	1022674966276379177	0 24 42 56 66 72 80 110 126 156 164 170 180 194 212 236	-894856048692
SPT(16)	1022675278698537733	0 54 76 84 106 114 174 180 184 190 250 258 280 288 310 364	-582433890136
SPT(16)	1022675306787738449	0 2 32 42 48 62 108 170 252 314 360 374 380 390 420 422	-554344689420
SPT(16)	1022675468902071463	0 6 10 34 70 78 100 124 150 174 196 204 240 264 268 274	-392230356406
STPT(10)	1022675555937585029	0 2 18 20 30 32 42 44 60 62	-305194842840
SPT(18)	1022675946234501859	0 10 42 54 58 60 84 144 150 172 178 238 262 264 268 280 312 322	85102073990
SPT(16)	1022676061861758659	0 32 50 68 78 84 92 120 122 150 158 164 174 192 210 242	200729330790
STPT(10)	1022676894469019747	0 2 12 14 42 44 72 74 84 86	1033336591878
STPT(10)	1022677065550470917	0 2 30 32 72 74 114 116 144 146	1204418043048
STPT(10)	1022677247168453057	0 2 24 26 42 44 60 62 84 86	1386036025188