Prime p₀= 2256423856842198227 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 46 2 10 2 28 2 10 2 (?)
a_n: 0 2 30 32 72 74 120 122 132 134 162 164 174 176
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: 176
Found by: JayPi
db: batch=81, k=14, 28 40 46 10 28 10

STPT(12)	2256422439028274849	0 2 48 50 78 80 90 92 120 122 168 170	-1417813923378
SPT(16)	2256422762853656279	0 110 120 134 158 260 270 282 350 362 372 474 498 512 522 632	-1093988541948
SPT(16)	2256423021824252791	0 6 30 42 76 90 102 118 180 196 208 222 256 268 292 298	-835017945436
TPT(14)	2256423246262626767	0 2 42 44 60 62 84 86 102 104 174 176 210 212	-610579571460
TPT(14)	2256423288113942657	0 2 12 14 24 26 84 86 150 152 204 206 222 224	-568728255570
SPT(16)	2256423487004826661	0 12 46 60 70 82 88 132 166 210 216 228 238 252 286 298	-369837371566
SPT(16)	2256424057570590409	0 28 34 84 94 102 112 144 178 210 220 228 238 288 294 322	200728392182
STPT(10)	2256424664739748091	0 2 30 32 120 122 210 212 240 242	807897549864
SPT(16)	2256425412056012147	0 20 44 74 84 110 122 140 156 174 186 212 222 252 276 296	1555213813920
STPT(10)	2256425491423938221	0 2 30 32 78 80 126 128 156 158	1634581739994
STPT(10)	2256425876640018899	0 2 12 14 30 32 48 50 60 62	2019797820672