Prime p₀= 1148137277827441799 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: crashtech
db: batch=76, k=10, 2 40 2 16 2

SPT(16)	1148135808589421243	0 8 18 50 54 56 140 144 170 174 258 260 264 296 306 314	-1469238020556
STPT(10)	1148135928633927599	0 2 42 44 120 122 198 200 240 242	-1349193514200
STPT(10)	1148136392681608529	0 2 42 44 90 92 138 140 180 182	-885145833270
SPT(16)	1148136444865441853	0 48 90 126 150 176 204 266 288 350 378 404 428 464 506 554	-832961999946
SPT(16)	1148136734823016759	0 60 78 148 172 178 190 192 280 282 294 300 324 394 412 472	-543004425040
STPT(10)	1148136889881807557	0 2 30 32 42 44 54 56 84 86	-387945634242
SPT(16)	1148137388019954547	0 64 76 112 144 160 172 196 210 234 246 262 294 330 342 406	110192512748
STPT(10)	1148137768639034351	0 2 6 8 48 50 90 92 96 98	490811592552
SPT(16)	1148137854893122631	0 18 20 42 62 68 90 140 228 278 300 306 326 348 350 368	577065680832
SPT(16)	1148137983688223533	0 4 76 96 144 150 154 166 348 360 364 370 418 438 510 514	705860781734
TPT(14)	1148138000564622647	0 2 54 56 84 86 180 182 192 194 270 272 282 284	722737180848