Prime p₀= 2666152944861942227 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 118 2 28 2 142 2 28 2 46 2 (?)
a_n: 0 2 30 32 150 152 180 182 324 326 354 356 402 404
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: 404
Found by: JayPi
db: batch=82, k=14, 28 118 28 142 28 46

TPT(14)	2666151560668785557	0 2 42 44 132 134 240 242 252 254 264 266 300 302	-1384193156670
STPT(10)	2666151726585426347	0 2 90 92 102 104 114 116 204 206	-1218276515880
STPT(10)	2666151760639983821	0 2 6 8 18 20 30 32 36 38	-1184221958406
STPT(10)	2666151787361978117	0 2 42 44 72 74 102 104 144 146	-1157499964110
STPT(10)	2666152229409689231	0 2 30 32 78 80 126 128 156 158	-715452252996
SPT(16)	2666152632421101029	0 38 44 72 98 114 122 164 198 240 248 264 290 318 324 362	-312440841198
SPT(16)	2666153151240568043	0 8 36 60 80 90 108 140 186 218 236 246 266 290 318 326	206378625816
SPT(16)	2666153217341179607	0 12 20 42 54 72 86 110 126 150 164 182 194 216 224 236	272479237380
SPT(16)	2666153623335217657	0 4 54 64 94 96 136 154 162 180 220 222 252 262 312 316	678473275430
STPT(10)	2666154115672915001	0 2 36 38 78 80 120 122 156 158	1170810972774
SPT(13)	2666154179327713453	0 60 66 78 168 210 228 246 288 378 390 396 456	1234465771226