Prime p₀= 411916353803939597 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 82 2 28 2 16 2 136 2 22 2 (?)
a_n: 0 2 84 86 114 116 132 134 270 272 294 296
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 296
Found by: scrap
db: batch=70, k=12, 82 28 16 136 22

SPT(14)	411916234072137437	0 32 44 62 90 102 140 186 224 236 264 282 294 326	-119731802160
SPT(14)	411916235327717231	0 56 60 96 128 132 158 180 206 210 242 278 282 338	-118476222366
SPT(20)	411916316186812561	0 18 28 60 76 78 90 102 106 148 150 192 196 208 220 222 238 270 280 298	-37617127036
SPT(14)	411916318768358303	0 6 30 54 56 98 104 180 186 228 230 254 278 284	-35035581294
SPT(14)	411916328733974651	0 38 48 68 80 96 122 156 182 198 210 230 240 278	-25069964946
SPT(14)	411916347429437953	0 16 40 46 64 84 166 204 286 306 324 330 354 370	-6374501644
SPT(14)	411916355410377751	0 40 70 142 156 190 268 300 378 412 426 498 528 568	1606438154
SPT(14)	411916363775539891	0 22 46 48 72 100 112 276 288 316 340 342 366 388	9971600294
SPT(16)	411916369441187027	0 42 44 72 74 104 114 156 200 242 252 282 284 312 314 356	15637247430
SPT(14)	411916378801173307	0 12 34 36 102 106 120 136 150 154 220 222 244 256	24997233710
STPT(10)	411916401577467947	0 2 30 32 42 44 54 56 84 86	47773528350