Prime p₀= 2227624023439292171 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 88 2 106 2 40 2 58 2 10 2 (?)
a_n: 0 2 108 110 198 200 306 308 348 350 408 410 420 422
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: 422
Found by: Penguin
db: batch=81, k=14, 106 88 106 40 58 10

SPT(16)	2227622552030448029	0 30 42 84 182 188 198 204 218 224 234 240 338 380 392 422	-1471408844142
STPT(10)	2227622871665993699	0 2 42 44 60 62 78 80 120 122	-1151773298472
STPT(10)	2227623583403588957	0 2 30 32 72 74 114 116 144 146	-440035703214
SPT(20)	2227623726966773881	0 6 30 36 40 72 78 96 106 118 120 132 142 160 166 198 202 208 232 238	-296472518290
SPT(16)	2227623769202651791	0 46 66 88 90 100 112 132 136 156 168 178 180 202 222 268	-254236640380
STPT(10)	2227623807037464959	0 2 12 14 30 32 48 50 60 62	-216401827212
TPT(14)	2227624575863711537	0 2 60 62 144 146 162 164 282 284 294 296 342 344	552424419366
SPT(16)	2227624639220367421	0 6 46 48 58 88 108 130 138 160 180 210 220 222 262 268	615781075250
SPT(16)	2227624706361000343	0 36 46 64 130 144 154 166 168 180 190 204 270 288 298 334	682921708172
STPT(10)	2227624715570047667	0 2 30 32 42 44 54 56 84 86	692130755496
SPT(16)	2227625005535303513	0 14 24 68 90 98 110 128 336 354 366 374 396 440 450 464	982096011342