Prime p₀= 2704706364705536249 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: Roadranner
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2704704902879027693	0 14 50 74 116 150 176 210 260 294 320 354 396 420 456 470	-1461826508556
SPT(16)	2704705367201979073	0 76 148 154 196 214 220 246 268 294 300 318 360 366 438 514	-997503557176
STPT(10)	2704705774536289169	0 2 48 50 60 62 72 74 120 122	-590169247080
SPT(16)	2704705959496014041	0 18 38 42 78 122 140 206 222 288 306 350 386 390 410 428	-405209522208
SPT(16)	2704706213582929939	0 40 42 82 132 144 148 174 208 234 238 250 300 340 342 382	-151122606310
SPT(20)	2704706314889575253	0 24 54 108 110 116 158 168 210 266 288 344 386 396 438 444 446 500 530 554	-49815960996
STPT(10)	2704706392522288337	0 2 30 32 42 44 54 56 84 86	27816752088
SPT(16)	2704706711297197877	0 30 32 36 50 56 86 140 156 210 240 246 260 264 266 296	346591661628
TPT(14)	2704706913095076269	0 2 18 20 48 50 90 92 162 164 210 212 228 230	548389540020
TPT(16)	2704707450801241799	0 2 42 44 90 92 102 104 138 140 210 212 240 242 270 272	1086095705550
STPT(10)	2704707590915375291	0 2 36 38 78 80 120 122 156 158	1226209839042