Prime p₀= 2497178272189970267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 222 224 264 266
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 266
Found by: [SG-FC] hl
db: batch=82, k=10, 2 40 2 88 2

SPT(16)	2497176322552191013	0 10 66 70 76 108 136 138 196 198 226 258 264 268 324 334	-1949637779254
SPT(16)	2497176560073568187	0 20 36 50 62 66 72 80 96 104 110 114 126 140 156 176	-1712116402080
SPT(16)	2497176669308831123	0 96 108 150 158 210 246 260 294 308 344 396 404 446 458 554	-1602881139144
STPT(10)	2497176690843432509	0 2 18 20 30 32 42 44 60 62	-1581346537758
TPT(14)	2497177830043308329	0 2 12 14 30 32 192 194 222 224 240 242 348 350	-442146661938
SPT(16)	2497177832546784239	0 14 30 32 110 150 152 168 224 240 242 282 360 362 378 392	-439643186028
STPT(10)	2497178320995282479	0 2 42 44 60 62 78 80 120 122	48805312212
STPT(10)	2497178363373359591	0 2 30 32 78 80 126 128 156 158	91183389324
STPT(10)	2497178412867854501	0 2 36 38 78 80 120 122 156 158	140677884234
TPT(14)	2497178689892346989	0 2 12 14 48 50 102 104 198 200 258 260 300 302	417702376722
STPT(10)	2497178969155423907	0 2 54 56 72 74 90 92 144 146	696965453640